JL.53 Bob's Bumpers has a repetitive manufacturing facility in Kentucky that makes automobile bumpers and other auto parts. The facility operates 350 days per year and has annual demand of 75,000 bumpers. They can produce up to 330 each day. It costs $71 to set up the production line to produce bumpers. The cost of each bumper is $148 and annual he costs are $37 per unit. Setup labor cost is $25 per hour. What is the optimal size of the production run for bumpers? (Display your answer to the nearest whole number.) 189 Based on your answer to the previous question, and assuming the manufacturer holds no safety stock, what would be ti average inventory for these bumpers? (Display your answer to the nearest whole number.) Number
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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…51 Ray's Satellite Emporium wishes to determine the best order size for its best-selling satellite dish (model TS111). Ray has estimated the annual demand for this model at 2,000 units. His cost to carry one unit is $105 per year per unit, and he has estimated that each order costs $30 to place.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.
- 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?Special Order; Opportunity Cost Alton Inc. is working at full production capacity producing20,000 units of a unique product. Manufacturing costs per unit for the product are as follows:[LO 11-2]Direct materials $ 9Direct labor 8Manufacturing overhead 10Total manufacturing cost per unit $27The per-unit manufacturing overhead cost is based on a $4 variable cost per unit and $120,000fixed costs. The nonmanufacturing costs, all variable, are $8 per unit, and the sales price is$45 per unit.Sports Headquarters Company (SHC) has asked Alton to produce 5,000 units of a modificationof the new product. This modification would require the same manufacturing processes. However,because of the nature of the proposed sale, the estimated nonmanufacturing costs per unit are only$4 (not $8). Alton would sell the modified product to SHC for $35 per unit.Required Set up an Excel spreadsheet to answer the following questions:1. What is the impact on short-term operating profit of accepting the special…A warehouse can store up to 100 units of a particular item. In each of the next N days weneed to determine the number of units to sell and then the number of units to buy. Sellingin each day precedes buying so that the maximum amount that can be sold is the initialinventory at the beginning of the day. The maximum amount that can be bought is limitedby the capacity minus the amount in inventory after selling takes place. Inventory can beheld overnight in the warehouse, provided the total number of units held does not exceed thewarehouse capacity. At the beginning of day 1, before selling takes place, there are 40 unitsof inventory in the warehouse. Suppose that pnand cnare the per unit selling and buyingprices, respectively, for each day n = 1, . . . , N . Formulate an LP in general form to determinethe amount to be sold and bought each day to maximize total profit. Make sure you havedefined your variables clearly. PLEASE provide steps on how you solved so I understand why the answer…
- Production and Materials Purchases Budgets White Corporation’s budget calls for the following sales for next year:Quarter 1 90,000 units Quarter 3 68,000 unitsQuarter 2 76,000 units Quarter 4 96,000 unitsEach unit of the product requires 3 pounds of direct materials. The company’s policy is to begineach quarter with an inventory of product equal to 5% of that quarter’s estimated sales requirementsand an inventory of direct materials equal to 20% of that quarter’s estimated direct materials requirements for production.Required Determine the production and materials purchases budgets for the second quarter.5. Daniel is planning to earn money over the summer mowing lawns in the neighborhood to buy a scooter. The scooter he wants costs $2,200. He will be charging $19.1/lawn and estimates his costs to be $2.7/lawn. How many lawns must he mow in order to pay for the scooter entirely through his earnings? a. 115.18 b. None of the other options. c. -134.15 d. 134.15 e. 112.48 f. 2562.201. 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.)