The company must produce 2000 units of A weekly. The company can purchase up to 1 ton of the raw material for $4/lb from one source and an unlimited amount from another source for $5.50/lb. The firm has 900 hr of labor available at $8/hr, and an additional 200 hr of overtime available at S12/hr. The company pays only for the labor and raw material it uses. Formulate a LPP to determine how many hours should each machine be used to meet demands at minimum cost? Hint: To incorporate the labor and raw material into the function to be optimized, divide the total raw material into two increments, say M, and M2, and divide the total labor into two increments, say L, and Ly. (Hint: try to write cost function only in terms of M,,M,, L, and L)
Q: Happy Dog Inc. produces three types of dog food. Puppy Blend is produced for dogs that are less than…
A: A) Linear programming model is formulated as below: Objective function: Minimize Z = 1X1+1X2+!X3…
Q: Bright Furnitures produces chairs and tables that go through M1 and M2. Making a 1 table and 1 chair…
A: The question is related to Linear Programming.The given problem is of Maximization. The details…
Q: Jean Clark is the manager of the Midtown Saveway Grocery Store. She now needs to replenish her…
A: Decision Alternatives: Quantity to be purchased (Q) = 10, 11, 12, or 13 States of Nature: Quantity…
Q: Kelson Sporting Equipment, Inc., makes two types of baseball gloves: a regular model and a catcher’s…
A: Given, Production time- 900 hours Finishing department- 300 hours Packaging and shipping department-…
Q: Ascent, Inc. manufactures hiking boots. Demand for boots is highly seasonal. In particular, the…
A: Decision Variables: X1 = Production in quarter 1X2 = Production in quarter 2X3 = Production in…
Q: ) John's Locomotive Works manufactures a model locomotive. It comes in two versions--a standard…
A:
Q: 4) The making of rivet holes in structural steel members can be done by 2 methods. The first method…
A: Given Information: Method 1: Using Drill Press Cost of a drill press = P 100K Machinist wage per…
Q: Goldilocks needs to find at least 12 lb. of gold and at least 18 lb. of silver to pay the monthly…
A: Let; x1 be the number of days spent in mine 1 x2 be the number of days spent in mine 2.
Q: The daily production process at a soda bottling company produces regular orange-flavored (x1 ),…
A: Decision Variables: Suppose-X1 be the no. of regular orange drink bottles to be producedX2 be the…
Q: A brewery produces regular beer and a lower-carbohydrate Tight beer. Steady customers of the brewery…
A: R = units of regular beer L= units of light beer Minimize C = 32000 R + 60000 L…
Q: A manufacturer employs three inputs: man-hours, machine-hours and cloth material to manufacture two…
A: THE ANSWER IS AS BELOW:
Q: Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in…
A: Hi, we are supposed to answer three subparts at a time. Since you have not mentioned which subpart…
Q: The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny…
A: A) Goal 1 Minimize overutilization of plastic 2 0.36 Goal 2 Minimize overutilization…
Q: A bed mart company is in the business of manufacturing beds and pillows. The company has 40 hours…
A: Given data is Available assembly hours = 40 Available finishing hours = 32 Assembly hours required…
Q: A manufacturer of two products (Widgets and Gadgets) makes a profit of $180 for each widget sold and…
A: Profit for each Widgets=$180 Profit for each gadget =$180 Waste charges of Widgets=3w2 (Where w is…
Q: A mining company need to decide which of the equipment models to use in a project that will last for…
A: Given Information: -Model A costs $15,000 and requires an annual operational cost of $2,000. The…
Q: A firm produces two types of products P and Q through two processes, viz., Foundary and Machine…
A: Maximize profit Z = 50P + 40Q subject to Foundry constraints 10P + 6Q <= 1000 Machine…
Q: Jean Clark is the manager of the Midtown Saveway Grocery Store. She now needs to replenish her…
A: Maximax criterion - It implies that the decision-maker considers the maximum payoffs of options and…
Q: A mini zoo is engaged in animal breeding where the animals require three different nutrients…
A: Note: - Since we can answer only up to three subparts we will answer the first three(a, b, and c)…
Q: Toshovo Computer owns four production plants that produce computer workstations. The company can…
A: Let, P1, P2, P3, and P4 and the variables related to the plant operations. If the values of P1, P2,…
Q: Travel Co. specializes in trans-American moves for businesses and individuals through the shipment…
A: Break even point Fixed cost = $5000 Variable cost = $0.40/pound Revenue = $0.68/pound
Q: Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in…
A: since we only answer up to 3 subparts, we'll answer the first 3 . please resubmit the question and…
Q: A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain…
A: SOLUTION:
Q: Show & Sell can advertise its products on local radio and television (TV). The advertising budget is…
A: the advertising budget is limited to $10,000 a month. Each minute of radio advertising costs $15…
Q: each Distributors packages and distributes industrial supplies. A standard shipment can be packaged…
A: Let x1 be number of Containers of A, x2 be number of containers of K and x3 be number of containers…
Q: A company needs to schedule the monthly production of a certain item for the next 4 months. The unit…
A: Given data, Production cost estimated for the first 2 month = $12 For the last 2 month = $14…
Q: Cox Electric makes electronic components and has estimated the following for a new design of one of…
A: Find the Given details below: Given Details: Fixed Cost 12750 $ Material Cost 0.16 $/Unit…
Q: Kilgore’s Deli is a small delicatessen located near a major university. Kilgore does a large walk-in…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: Production of tables may not exceed twice the units produced of chairs. Total production budget is…
A: Let the no. of Chairs be C, No. of Tables be T, and No. of Windows be W.
Q: A company produces three products, A, B, and C. The sales volume for A is at least 50% of the total…
A: This is a maximization problem. The LP formulation is as follows: Maximize Z = 20A + 50B + 35C…
Q: Please develop a linear programming model for the problem. b. Find the optimal solution via Excel.…
A: Let x and y be the time allocated to regular customers and new customers respectively. Objective…
Q: A goal is to get at least 10% of daily calories from polyunsaturated fats as are found in various…
A: Total calories per day = 2000 Each gram of fat has 9 calories. As 1 serving of walnut has 20g of…
Q: The U-Drive Rent-A-Truck company plans to spend $13 milion on 320 new vehicles. Each commercial van…
A: Given data: Plans to spend = $13 M for number of vehicles = 320 new vehicles Let us denote…
Q: mix of Peanut/Raisin Delite to put up. The deluxe mix has .70 pounds of raisins and .30 pounds of…
A: Expected profit
Q: Mark has a company that produces tables and chairs, both having two different models. The product…
A: Sensitivity analysis is used to determine the changes in the optimal solution with the change in the…
Q: Gillian's Restaurant has an ice-cream counter where it sells two main products, ice cream and frozen…
A: Also, each week the restaurant sells at least twice as much ice cream as frozen yogurt
Q: A food processor uses about 11,250 pounds of wheat each week. The food processor estimates their…
A: Given data Weekly demand = 11250 pounds of wheat Week in a year 52. Hence, annual demand or total…
Q: PRODUCT MIX: The JP Manufacturing Company produces two products. Resource requirements for…
A:
Q: BMW produces three different types of wheels – 17-inch, 18-inch, and 19-inch – in its manufacturing…
A: Given data: Wheel Demand (units/day) Production cost ($/unit) Reconfiguration cost ($) 17-inch…
Q: A machine tool company conducts a job-training programme at a ratio of one for every ten trainees.…
A: Given that Payroll each month of Training Manager = Rs. 700 Payroll cost each month of Trainee = Rs…
Q: In the design of a jet engine part, the designer has a choice of specifying 10 either an aluminum…
A: Given data is Weight of aluminum casting = 1.2 kg Weight of steel casting = 1.35 kg Cost of aluminum…
Q: Brady Corporation produces cabinets. Each week, itrequires 90,000 cu ft of processed lumber. The…
A: Let ‘a’ be the number of cubic feet of grade 1 lumber by purchasing. Let ‘b’ be the number of cubic…
Q: plant has capacity of producing 8,000 units per month of a product, which it sells for P1.50 per…
A: The answer is as below:
Q: Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large…
A: Given Information:
Q: The production planner of a company forecasts the sales over the next four months as 2000, 1400,…
A: This is a classic case. Thanks for sharing. There will be two answers for this. One as per the…
Q: The Feed ’N Ship Ranch fattens cattle for local farmers and ships them to meat markets in Kansas…
A:
Q: The ore of a gold mine in the province contains, on average, 0,5 ounce of gold per ton Method A of…
A: Identifying the better model of production technique will helps to choose the right method of…
Q: Jean Clark is the manager of the Midtown Saveway Grocery Store. She now needs to replenish her…
A: Decision Alternatives: Quantity to be purchased (Q) = 10, 11, 12, or 13 States of Nature: Quantity…
Q: Gillian's Restaurant has an ice-cream counter where it sells two main products, ice cream and frozen…
A: SOLUTION IS AS BELOW:
solve by forming a mathematical method (equations) and answer the question
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Kathleen McFadden's restaurant in Boston, has recorded the following data for eight recent customers: a) Kathleen wants you to graph the eight points (X₁, ₁), i = 1, 2, find possible causes of the problem. Choose the correct graph below. A. No. of Trips to Kitchen 3 № 5 ● 10 Time (min) 15 B. Time (min) 15- 5- Customer Number, i 1 2345678 Minutes from Time Food Ordered Until Food Arrived (y₁) 0 1 2 3 4 5 6 No. of Trips to Kitchen 10.25 13.00 9.00 5.00 9.25 6.25 12.00 11.00 O C. 8. She has been concerned because customers have been waiting too long for their food, and this graph is intended to help her Time (min) 14- 12- 10- 8- 6- 4- No. of Trips to kitchen by Waitress (x₁) 0- 4 5313255 D. Time (min) 14- 12- L 10- 8- 6- 4- 2- 0- ▬▬▬▬▬▬▬▬▬▬▬A company makes two products (1 and 2). Each product requires time on two machines A and B. The specifications for each product are as follows; Product 1 Product 2 Processing time on machine A (hrs/unit) 2 2 Processing time on machine B (hrs/unit) 1 2 Material and labor cost (Sh./unit) 14 15 Selling price (Sh./unit) 16 18 Maximum possible sale (units) 130 150 The amount of time available on machine A is 360 hrs and on machine B is 260 hrs. Formulate the LP problem, which when solved, would indicate the number of product 1 and 2, which should be sold in order to maximize total…. A teller at a drive-up window at a bank had the following service times (in minutes) for 20 randomly selected customers.SAMPLE1 2 3 44.5 4.6 4.5 4.74.2 4.5 4.6 4.64.2 4.4 4.4 4.84.3 4.7 4.4 4.54.3 4.3 4.6 4.9a. Determine the mean of each sample.
- The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor utilization, and product profitability: Labor-Hours Required Department A B с (hours/unit) Product 1 Product 2 Hours Available Production 1.00 0.30 Profit contribution/unit $30.00 0.20 38.27 0.35 0.20 0.50 $15.00 (a) Develop a linear programming model of the Hartman Company problem. Solve the model to determine the optimal production quantities of products 1 and 2. If required, round your answer to two decimal places. Product 1 Product 2 69.77 M 95 72.09 38 50 (b) In computing the profit contribution per unit, management does not deduct labor costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be scheduled in some of the departments. Which departments would you recommend scheduling for overtime? Dept A What is the upper limit of what…b. The Healthy Food Restaurant, a 24-hour restaurant, faces changing requirements from hour tohour. More workers are needed for peak hours, and fewer are needed in between. The followingTable 6 (below) shows the worker requirement for the first 12 hours in the restaurant:Table 6. Staff Requirement at the Healthy Food RestaurantTime Period 10AM11AM12PM1PM2PM3PM4PM5PM6PM7PM8PM9PMRequirement 8 10 12 12 9 7 6 7 9 10 12 8AssignedOn DutyOverstaffed8(i) You are required to apply the first-hour principle to staff each hour with the required number ofcafeteria staff, showing how many staff are on duty each given hour, the number of staffyou have assigned to work each hour and any overstaffing for each hour. i. Schedule the staff to work in 8-hour shifts.Operation Observations Turning Drilling Welding Cleaning up 955 971 337 215 174 PFD Fixing Fab Tech Oiling Machine Setting Gauges 262 52 48 Approximately how much time (in minutes) does the workers spend fixing the Fab Tech equipment during an eight hour shift. Assume that the workers have two 15-minute breaks during this shift. Assume this is a typical machine shop environment. As an industrial engineering would you be concerned with the amount of PFD time shown on the table. Explain your answer? 10.
- The Holt Million Corporation’s plant manufactures two different products: X and Y. The plant has three different machines: A, B, and C. Each performs different tasks and can work on only one unit of material at a time. Details for each product are shown in the table below: Product X Y Demand Per Week 200 units 100 units Selling Price $150 $160 Machine Operation Required A, B, C B, B, C Operation Times in Minutes 20, 15, 15 15, 15, 15 Raw Materials Needed RM-1, RM-2 RM-2, RM-3 Raw Materials Costs RM-1 = $40/unit, RM-2 or RM-3 = $20/unit Each product uses raw materials with costs as shown in the above table where the processing times and the machine required for each operation are also shown. Each machine is available 4,800 minutes per week. There are no system foul-ups. Demand is deterministic (i. e., no uncertainty). Operating expenses, including labor (but excluding raw materials) total $12,000 per week. Assuming…The Holt Million Corporation’s plant manufactures two different products: X and Y. The plant has three different machines: A, B, and C. Each performs different tasks and can work on only one unit of material at a time. Details for each product are shown in the table below: Product X Y Demand Per Week 200 units 100 units Selling Price $150 $160 Machine Operation Required A, B, C B, B, C Operation Times in Minutes 20, 15, 15 15, 15, 15 Raw Materials Needed RM-1, RM-2 RM-2, RM-3 Raw Materials Costs RM-1 = $40/unit, RM-2 or RM-3 = $20/unit Each product uses raw materials with costs as shown in the above table where the processing times and the machine required for each operation are also shown. Each machine is available 4,800 minutes per week. There are no system foul-ups. Demand is deterministic (i. e., no uncertainty). Operating expenses, including labor (but excluding raw materials) total $12,000 per week. Assuming…Assume that General Dynamics, which manufactures high-technology instruments for spacecraft, is considering the sale of a navigational unit to a government agency in India that wishes to launch its own communications satellite. The government agency plans to purchase 8 units, although it would also consider buying 16 units. General Dynamics has started a chart relating labor time required to units produced. Unit Produced (X) Time Required toProduce the Xth Unit 1 10,000 hours 2 8,000 hours 4 6,400 hours 8 ? 16 ? Required: a. Compute the labor time required to produce 8 and 16 units.b. Assume that labor time costs $125 per hour. Compare the cost of producing the 1st unit to the cost of producing the 16th unit. What is the percentage of the cost of the 16th unit to the cost of the 1st unit?
- Mth Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Vol 600 500 400 300 700 800 350 450 390 462 480 530 An operator works 8 hours per shift at $10/hr and 20% in fringe benefits. If the machine capacity is 2616 units per shift, determine the annual cost for the budget of this position.b) A company receives parts from suppliers to be used in its manufacturing departments. The quality control department must perform two operations when shipments are received: Operation A – draw a random sample, package, and deliver to testing; and Operation B – test the materials and issue a disposition report. There are currently six shipments waiting to be processed. The time estimates for processing these six shipments through quality control are given in the table below. Shipment Operation A (hours) Operation B (hours) A 1.5 1.0 В 1.1 2.7 1.2 1.4 D 0.7 1.6 E 1.6 1.5 F 1.9 2.9 Use Johnson's Rule to set the sequence of processing the shipments through Quality Control. i. ii. How much total time is required to process all the six shipments through Quality Control? Show all times on a Gantt Chart. w lu[The following information applies to the questions displayed below.] The following are the car repair shop data: TETE Ticket No. Work Ticket No. Work Ticket No. Work 1 Lube & oil 11 Battery 21 Battery Tires 2 Lube & oil 12 Tires 22 3 Brakes 13 Brakes 23 Brakes 4 Lube & oil 14 Transmission 24 Transmission Lube & oil 15 Brakes 25 Brakes Tires 16 Battery 26 Lube & oil 7 Tires 17 Brakes 27 Lube & oil 8. Brakes 18 Tires 28 Lube & oil 9. Brakes 19 Tires 29 Tires 10 Lube & oil 20 Lube & oil 30 Lube & oil