Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 600 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 200 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Model Regular model Catcher's model Production Time (Hours) Profit/Glove $4 $8 Assuming that the company is interested in maximizing the total profit contribution, answer the following: Cutting and Sewing Finishing 1/2 1 3/2 Max s.t. (a) What is the linear programming model for this problem? If required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be entered in the box. Do not round intermediate calculation. If an amount is zero, enter "0". Let R= number of units of regular model. C = number of units of catcher's model. X 1.0 X X R R + 1/2 + Packaging and Shipping 1/6 1/2 X₂ + R, C 1.5 c C .5 CS CS S <<<· × Cutting and Sewing Finishing Packing and Shipping
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- Part A is processed on a MILLING machine; Part B is processed on a LATHE machine. Two parts (A and B) are then assembled on an ASSEMBLY machine. Standard times, scrap rates, efficiency, and availability of each machine and the assembly are given in the table below. Determine the number of milling (M), the lathe (L) and the assembly (A) machines needed to produce 100 good parts from this production system during and 8-hour (480 minutes) shift. (Note: Round up the number of parts processed on each station and then round up the number of machines needed).XYZ Leather Company manufactures and sells two products, wallets and belts, in its two-department plant. Operating data pertaining to the two products are as follows: Wallets Belts Selling price per unit P30 P50 Cost per unit: Variable manufacturing costs P8 P15 Variable marketing costs P2 P3 Fixed manufacturing costs P5 P5 Fixed marketing costs P6 P1 Cutting Finishing…Luthan Company uses a plantwide predetermined overhead rate of $22.80 per direct labor-hour. This predetermined rate was based on a cost formula that estimated $273,600 of total manufacturing overhead cost for an estimated activity level of 12,000 direct labor- hours. The company incurred actual total manufacturing overhead cost of $267,000 and 12,600 total direct labor-hours during the period. Required: Determine the amount of manufacturing overhead cost that would have been applied to all jobs during the period. Manufacturing overhead applied
- LMNO Gaskets has formulated a production plan for a product to meet demand over the upcoming four quarters. Demand in each of the four quarters and production, overtime, and subcontracting capacities are reported in the table below, in addition to the feasible production plan. The relevant costs are: • Regular time production cost is $10/unit. Overtime production cost is $14/unit. Subcontracting cost is $18/unit Inventory is held at a cost of $1/unit/quarter. • Units may be backordered at a cost of $4/unit/quarter. Production Resource Regular Time Q1 Overtime Q1 Subcontract Q1 Regular Time Q2 Overtime Q2 Subcontract Q2 Regular Time Q3 Overtime Q3 Subcontract Q3 Demand in Quarter Demand in Quarter Q2 0 20 0 550 Q1 550 230 0 0 0 0 40 40 0 860 250 470 0 40 0 1330 What is the inventory cost for the year? What is the backorder cost for the year? What is the total cost for the year? Q3 0 0 0 0 0 30 510 160 0 700 What is the total overtime production cost for the year? Capacity 550 250 500…Manufacturing Aggregate Planning Manufacturers Inc. (MI) currently has a labor force of 10, which can produce 600 units per period. The labor cost is now $5000 per period per employee. The company has a long-standing rule that does not allow it to make use of any overtime. In addition, the product cannot be subcontracted, due to the specialized nature of the machinery that MI uses to produce it. As a result, MI can only increase/decrease production by hiring or laying off employees. The cost is $10000 to hire or lay off an employee. Inventory carrying costs are $200 per unit for any unsold items at the end of the period. The inventory level at the beginning of period 1 is 400 units. The forecast demand is 700 in period 1,600 in period 2,450 in period 3, 250 in period 4,500 in period 5, and 550 in period 6. a.) Compute the costs of the Chase Demand Strategy. b.) Compute the costs of the Level Strategy c.) Compare the costs of the two strategies. Which one is superior?Spartan Castings must implement a manufacturing process that reduces the amount of particulates emitted into the atmosphere. Two processes have been identified that provide the same level of particulate reduction. The first process is expected to incur $350,000 of fixed cost and add $50 of variable cost to each casting Spartan produces. The second process has fixed costs of $150,000 and adds $90 of variable cost per casting.a. What is the break-even quantity beyond which the first process is more attractive?b. What is the difference in total cost if the quantity produced is 10,000?
- Shelves Unlimited is interested in estimating the additional machine center capacities for a new Book Shelf. The shelf is made from two end panels, three shelves plus a number of various fasteners and hangers. Fabrication is as follows: End Panel: Operation Machine Run Time (per unit) Setup Time Per Operation Saw 6 minutes .8 hours .1 hours 2 minutes 3 minutes Planer Router 3 .8 hours Shelf. Run Time (per unit) Operation Machine Setup Time Per Operation Saw 2 minutes .3 hours 3 minutes Molder 1.4 hours 5 minutes 1 minute 3 Router .7 hours 4 Sander .1 hours A. If Shelves Unlimited makes a batch of 250 book shelves, how much time will be required on the Router? B. If the work center which performs the molding of the selves were to take 34 hours (including setup) to produce a batch of 250 shelves, what would be the efficiency of the work center?3. Jonathan owns and operates 5 car window tinting shops in the Rio Grande Valley area. Each tint shops has 4 car stalls. Jonathan only operate 3 stalls at a time, leaving the other stall vacant. Based on his latest revenue reports, he is averaging 2 customers at a time receiving tint while the 3rd stall is empty. Each tint shop is open 12 hours per day. Each car or truck requires 2 hours of work A) what is Jonathan daily design capactity? B) what is Jonathan daily effective capcity? C) what is Jonathan actual out per day D) what is Jonathan utilization rate E) what is Jonathan effective utilization rateTuff-Rider, Inc., manufactures touring bikes and mountain bikes in a variety of frame sizes, colors, and component combinations. Identical bicycles are produced in lots of 110. The projected demand, lot size, and time standards are shown in the following table: Item Touring Mountain Demand forecast 4,000 units/year 12,000 units/year Lot size 100 units 110 units Standard processing time 0.25 hour/unit 0.50 hour/unit Standard setup time 2 hours/lot 3 hours/lot The shop currently works 8 hours a day, 5 days a week, 52 weeks a year. It operates five workstations, each producing one bicycle in the time shown in the table. The shop maintains a 15 percent capacity cushion. How many workstations will be required next year to meet expected demand without using overtime and without decreasing the firm's current capacity cushion? The number of workstations required next year is ?(Enter your response rounded up to the next whole number.)
- Pleasant Stay Medical Inc. wishes to determine its product costs. Pleasant Stay offers a variety of medical procedures (operations) that are considered its “products.” The overhead has been separated into three major activities. The annual estimated activity costs and activity bases follow: Activity Budgeted Activity Cost Activity Base Scheduling and admitting $432,000 Number of patients Housekeeping 4,212,000 Number of patient days Nursing 5,376,000 Weighted care unit Total costs $10,020,000 Total “patient days” are determined by multiplying the number of patients by the average length of stay in the hospital. A weighted care unit (wcu) is a measure of nursing effort used to care for patients. There were 192,000 weighted care units estimated for the year. In addition, Pleasant Stay estimated 6,000 patients and 27,000 patient days for the year. (The average patient is expected to have a…Pleasant Stay Medical Inc. wishes to determine its product costs. Pleasant Stay offers a variety of medical procedures (operations) that are considered its “products.” The overhead has been separated into three major activities. The annual estimated activity costs and activity bases follow: Activity Budgeted Activity Cost Activity Base Scheduling and admitting $432,000 Number of patients Housekeeping 4,212,000 Number of patient days Nursing 5,376,000 Weighted care unit Total costs $10,020,000 Total “patient days” are determined by multiplying the number of patients by the average length of stay in the hospital. A weighted care unit (wcu) is a measure of nursing effort used to care for patients. There were 192,000 weighted care units estimated for the year. In addition, Pleasant Stay estimated 6,000 patients and 27,000 patient days for the year. (The average patient is expected to have a a little more than a…Fedori Corporation has a Parts Division that does work for other Divisions in the company as well as for outside customers. The company's Machinery Division has asked the Parts Division to provide it with 4,000 special parts each year. The special parts would require P23.00 per unit in variable production costs. The Machinery Division has a bid from an outside supplier for the special parts at P37.00 per unit. In order to have time and space to produce the special part, the Parts Division would have to cut back production of another part-the YR24 that it presently is producing. The YR24 sells for P40.00 per unit, and requires P28.00 per unit in variable production costs. Packaging and shipping costs of the YR24 are P3.00 per unit. Packaging and shipping costs for the new special part would be only P1.50 per unit. The Parts Division is now producing and selling 15,000 units of the YR24 each year. Production and sales of the YR24 would drop by 20% if the new special part is produced for…