Toyco produces a line of Bonnie dolls and accessories at its plants in New York and Baltimore that must be shipped to distribution centers in Chicago and Los Angeles. The company uses Air Freight, Inc.., to make its shipments. Suppose that it can ship directly or through Pittsburgh and Denver. The daily production rates at the plants are respectively 5,000 and 7,000 units daily, and the demands at the dis- tribution centers are respectively 3,500 and 8,500 units daily. The costs o shipping 1,000 units are given in the following table. Find the optimal shipping routes and the associated cost.
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- This is question 24 under section 3.5. It is missing Mr. Meadows Cookie Company makes a variety of chocolate chip cookies in the plant in Albion, Michigan. Based on orders received and forecasts of buying habits, it is estimated that the demand for the next four months is 850, 1,260, 510, and 980, expressed in thousands of cookies. During a 46-day period when there were 120 workers, the company produced 1.7 million cookies. Assume that the number of workdays over the four months are respectively 26, 24, 20, and 16. There are currently 100 workers employed, and there is no starting inventory of cookies. a.What is the minimum constant workforce required to meet demand over the next four months? b.Assume that inventory cost is 10 cents per cookie per month; hiring cost is $1000 per worker, and firing cost is $2000 per worker, payroll cost is $75 per day per worker. Evaluate the cost of the plan derived in part (a). c. Formulate as a linear programming problem. Be sure to define…1.An auto parts supplier sells Hardy-brand batteries to car dealers and auto mechanics. Theannual demand is approximately 1,400 batteries. The supplier pays $32 for each batteryandestimates that the annual holding cost is 30 percent of the battery's value. It costs approximately$25 to place an order (managerial and clerical costs). The supplier currently orders 140batteriesper month. Determinetheordering, holding, andtotal inventory costs forthe currentorderquantity. Determine the economic order quantity (EOQ). How many orders will be placed per year using the EOQ? Determine the ordering, holding, and total inventory costs for the EOQ. Howhas ordering cost changed? Holding cost? Total inventory cost?Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Answer Report using SOLVER in EXCEL. Then, clearly answer what is the optimal solution? What is the resulting profit?
- Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Clearly state the decision variables, objective function and constraints. The objective function and constraints should be written as inequality or equality formulas. b) Generate the Answer Report using SOLVER in EXCEL. Then, clearly answer what is the optimal solution? What is the resulting profit?Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Sensitivity Report in EXCEL for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints. Include units in your interpretations.Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Suppose the feasible region from a set of constraints in a linear programing problem is given in the shaded region of the attached graph. If the objective function is to minimize Cost = 9x + 4y, what would be the optimal solution? What is the resulting minimized cost? SOLVER is not used in this question. Explain your reasoning.
- PT Cahaya Pintar Utama (PT. CPU) makes special lights that are popular in new homes. PT. CPU demand for two popular lights (VX-1234 and BX-1010) to be the following over the next 12 weeks, as listed in Table 2. Table 2. Demand data Week 1 2 3 4 5 6 7 8 9 10 11 12 VX-1234 82 94 78 96 105 90 86 75 88 98 110 100 BX-1010 250 280 301 312 290 300 275 286 310 334 350 318 A key component in both lights is a light socket that the bulb is screwed into in the base fixture. Each light has one of these sockets. Given the following information (Table 3). Table 3. Information VX-1234 BX-1010 Light Socket On Hand 185 425 620 Lot Size 325 600 500 (purchase quantity) Lead time (week) 1 1 3 Safety Stock 0 10 20 On Order 50 (week 5) 150 (week 4) - Questions: Develop and complete the material requirement planning to plan the production of…M. P. VanOyen Manufacturing has gone out on bid fora regulator component. Expected demand is 700 units per month.The item can be purchased from either Allen Manufacturing orBaker Manufacturing. Their price lists are shown in the table.Ordering cost is $50, and annual holding cost per unit is $5.ALLEN MFG. BAKER MFG.QUANTITY UNIT PRICE QUANTITY UNIT PRICE1–499 $16.00 1–399 $16.10500–999 15.50 400–799 15.601,0001 15.00 8001 15.10a) What is the economic order quantity?b) Which supplier should be used? Why?c) What is the optimal order quantity and total annual cost ofordering, purchasing, and holding the component? PX1. Forrest and Dan make boxes of chocolates for which the demand is uncertain. Forrest says, "That's life." On the other hand, Dan believes that some demand patterns exist that could be useful for planning the purchase of sugar, chocolate, and shrimp. Forrest insists on placing a surprise chocolate-covered shrimp in some boxes so that "You never know what you'll get." Quarterly demand (in boxes of chocolates) for the last three years is shown in the table below: b. If the expected sales for chocolates are 14,400 cases for year 4, use the multiplicative seasonal method to prepare a forecast for each quarter of the year. (Round all intermediate calculations to two decimal places.) The first quarter forecast is what? boxes of chocolates. (Enter your response rounded to the nearest whole number.)
- A hospital must order the drug Porapill from DaisyDrug Company. It costs $500 to place an order and $30 toreview the hospital’s inventory of the drug. Annual demandfor the drug is N(10,000, 640,000), and it costs $5 to holdone unit in inventory for one year. Orders arrive one monthafter being placed. Assume that all shortages are backlogged.a Estimate R and the number of orders per year thatshould be placed.b Using the answer in part (a), determine the optimal(R, S) inventory policy. Assume that the shortage costper unit of the drug is $100.c) Even if there is substantial uncertainty in the parameters in the EOQ-model, it is still quite a useful model. Discuss why.A manufacturing firm has gone out on bid to procure a component. Expected demand is 700 units per month. The item can be purchased from either Vendor A or Vendor B. Their price lists are shown in the table. Ordering cost is $50, and annual holding cost per unit is 30% of the item’s value. Vendor A Vendor B Quantity Unit Price Quantity Unit Price 1-499 $16.00 1-399 $16.10 500-999 15.50 400-799 15.60 1000+ 15.00 800+ 15.10 Calculate the economic order quantity. From which vendor is the optimal order quantity and what is the total annual inventory cost?