a) Zed and Adrian run a small bicycle shop called "Z to A Bicycles". They must order bicycles for the coming season. Orders for the bicydes must be placed in quantities of twenty (20). The cost per bicycle is R1700 if they order 20, R1650 if they order 40, R1550 if they order 60, and R1340 if they order 80. The bicycles will be sold for R5000 each. Any bicycles left over at the end of the season can be sold (for certain) at R1450 each. If Zed and Adrian run out of bicycles during the season, then they will suffer a loss of "goodwill" among their customers. They estimate this goodwill loss to be R500 per customer who was unable to buy a bicycle. Zed and Adrian estimate that the demand for bicycles this season will be 10, 30, 50, or 70 bicycles with probabilities of 0.2, 0.4, 0.3, and 0.1 respectively. Set-up the cost payoff matrix for this problem.
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- 49 The local supermarket buys lettuce each day to ensure really fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $7.00 a box. The lettuce is sold for $18.00 a box and the dealer that sells old lettuce is willing to pay $2.00 a box. Past history says that tomorrow's demand for lettuce averages 255 boxes with a standard deviation of 40 boxes.The local supermarket buys lettuce each day to ensure very fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $4 a box. The lettuce is sold for $10 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. Past history says that tomorrow’s demand for lettuce averages 250 boxes, with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow?Mary hopes to sell 10,000 pieces of chrysanthemum last November but she was able to sell 15,000 chrysanthemum. Her chrysanthemum is sold at 20 pesos each. Her total expenses was 150,000, hence, cost per unit is 15.00. What was her sales volume? * 300,000 150,000 10,000 O 25,000 O 15,000
- d) A company can produce three products A, B and C. the products yield a contribution of Kshs.8, 5 and 10 respectively. The products use a machine which has 400 hours capacity. Each unit of the product uses 2, 3 and 1 hour respectively of the machines capacity. There are only 150 units available in the period of a special component which is used singly in product A and C. Only 200kgs of a special alloy is available in the period. The usage of special alloy is 2kgs per unit and 4kgs per unit respectively. There is an agreement with a trade association to produce no more than 50 units of product B in the period. Advise the company on the production plan that will maximize contribution.2.28 A foundry produces castings to order. An order for 20 special castings has been re- ceived. Since the casting process is highly variable, not all castings produced are good. The cost of producing each casting is $550; the additional cost of finishing a good casting is $125. If a casting is not good, it is recycled at a value of $75; excess good castings are not finished but are recycled at a value of $75. The customer has agreed to accept 15, 16, 17, 18, 19, or 20 castings at a price of $1250 each. If fewer than 15 good castings are produced, none will be purchased by the customer. Prob- ability distributions for the number of good castings produced in a batch of varying sizes are given below. How many castings should be scheduled in order to maximize expected profit? #Good Castings 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 79 2 PRODUCT, PROCESS, AND SCHEDULE DESIGN Number of Castings Scheduled 15 16 17 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00…1) Antonio is the RM at the 180-room Hawthorne Suites. Disappointed in his occupancy rate last year, he decided to reduce his room rates this year by 10 percent to help increase sales and improve his RevPAR. This action resulted in an upswing in occupancy, from 75 percent last year, to 85 percent this year; an increase of 13.3 percent.Last year, Antonio’s controllable operating costs were $61.00 per room. This year, they rose to $62.00 per room, an increase of only 1.6 percent. Help Antonio better understand the overall results of his rate reduction strategy by completing his hotel’s May operating performance worksheet and then answering the questions that follow. Statistics Last May This May Occupancy % 75% 85% Rooms Sold ADR $129.99 $116.99 Rooms Revenue RevPAR Controllable operating cost Gross operating profit GOPPAR 2) Paige Vincent is the RM at the City Center Novotel. For over 12 months, she has been working hard to improve the…
- A company is known to have 4 request periods in 1 year. In the first quarter year demand amounted to 750, the 2nd quarter was 900, the third quarter was 1500, and for the fourth quarter it was 900. If the company has an initial inventory of 100, the desired final inventory is 150 units, the cost of normal hours is 100 rupiah/unit, the overtime hour fee is 125 rupiah/unit, the cost of sub-contract hours is 150 rupiah/unit, and lastly the cost of inventory is known to be 20 rupiah per unit per period. Here is the table of normal hours, overtime hours and subcontracts. Period Normal Hours Ovetime Hours Subcontracts 1 700 146 500 2 800 146 500 3 900 146 500 4 500 146 500 Please specify:a. Total cost!b. How much is produced per quarter?c. Analyze Your Answers!Mary hopes to sell 10,000 pieces of chrysanthemum last November but she was able to sell 15,000 chrysanthemum. Her chrysanthemum is sold at 20 pesos each. Her total expenses was 150,000, hence, cost per unit is 15.00. What was her sales volume variance? *25,00075,00015,000100,000 Mary hopes to sell 10,000 pieces of chrysanthemum last November but she was able to sell 15,000 chrysanthemum. Her chrysanthemum is sold at 20 pesos each. Her total expenses was 150,000, hence, cost per unit is 15.00. What was her sales volume variance? *25,00075,00015,000100,000The GIIC -Company must determine a policy for ordering coal to operate 15 smelters. Each smelter requires exactly 5 tons of coal per day to operate, and the firm operates 360 days per year. The purchasing manager has negotiated a contract to obtain the coal for 5 BD per ton for the coming year. The purchasing manager has determined that the ordering cost is 40 BD per order, and the cost of holding coal is 20% per ton of its value. i. Determine the optimal quantity of coal to receive in each order. ii. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost ii. If five days' lead time is required to receive an order of coal, how much coal should be on hand when an iv. Optimal quantity 1837.11 Tons, Total cost 1837.11 BD, Inventory during LT 275 Tons of the coal). order is placed? i. Optimal quantity 1469.694 Tons, Total cost 1469.694 BD, Inventory during LT 375 Tons ii. Optimal quantity 734.85 Tons, Total cost 1649.694 BD,…
- A NEW GENERATOR HAS JUST BEEN INSTALLED. IT IS EXPECTED THAT THERE WILL BE NO MAINTENANCE CHARGES UNTIL THE END OF THE 5TH YEAR. P300.00 WILL BE SPENT AT THE END OF EACH SUCCESSIVE YEAR UNTIL THE GENERATOR IS SCRAPPED AT THE END OF ITS 14TH YEAR OF SERVICE. WHAT SUM OF MONEY SET ASIDE AT THE TIME OF INSTALLATION OF THE GENERATOR AT 6% WILL TAKE CARE OF ALL MAINTENANCE EXPENSES FOR THE GENERATOR? a.P3,958.31 b.P2,424.84 c.P1,524.79 d.P1,694.32The Delta company uses three raw materials to make cakes. Delta is trying to reduce warehousing costs and establishes three policies to that end: i) The annual number of orders for all products must be at least 20 per contractual terms with transportation providers. ii) The average inventory in units must be a maximum of 1800. iii) Because the raw material is perishable, there can never be more than 2000 units in inventory of raw material 1. Raw material 2 has a maximum allowed of 1200 units and the raw material 3 can store maximum 400 units. The following table shows the product information: Materia Demanda Costos por unidad Costo por prima (u/año) ordenar ($) 2200 2 300 2 500 4 650 3 3000 10 100 Consider an interest rate of 10% per year. A) Formulate the problem as a mathematical programming model that minimizes the total annual cost. b) Represent the problem in a single equation including the constraints in terms of lambda c) Find the optimized batch sizes for the company's raw…27) Ali has a restaurant where the customers use a different number of disposable cups each day he is open. Every 30 days, Ali places an order to replenish his cup inventory. It takes 3 days for the order to arrive, at which point it brings the inventory level up to 4000 cups. It costs Ali $30 to have the order processed. Select all statements that apply to Ali's situation: Group of answer choices a) Ali uses a Continuous Inventory System b) d is constant c) Ali uses a Periodic Inventory System d) Ali uses a Fixed-Order-Quantity Inventory System e) Maximum Inventory Level is constant