e) Solve the mixed-integer linear program formulated in part (d). How much of each product should be produced and what is the projected total profit contribution? Compare this profit contribution to that obtained in part (c). If required, round your answers to nearest whole number. If your answer is zero enter "0". Product 1 Product 2 Product 3 00 Amount to Produce Updated Profit
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- 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?Because of its labor contract, a company must hire enough labor for 100 units ofproduction per week on one shift or 200 units per week on two shifts. It cannot hire,lay off, or assign overtime. During the fourth week, workers will be available fromanother department to work part or all of an extra shift (up to 100 units). There is aplanned shutdown for maintenance in the second week, which will cut production tohalf. Develop a production plan. The opening inventory is 200 units, and the desiredending inventory is 300 unitsThe Ace Manufacturing Company has orders for three similar products. Product A Min B C 1 2 Machine 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A B B Ic C Product 1 12 3 Orders (units) 1,900 500 1,100 Capacity (units) 1,300 1,600 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 (a) Develop the linear programming formulation of this problem. (Let XA1 be the number of units of product A produced by machine 1, X;; be the number of units of product i produced by machine j, etc.)
- You have been hired by Kia as manager for its Pakistan operations. Assume following is the short-run production function at their assembly plant outside Karachi: Q = 10L2 – 0.5 L3 where L is variable input labor, Q is output of Cars assembled a. At the end of the year it is expected that output will double with purchase ofnew equipment and machinery. The production function is estimated to be Q = 60L.30K.70 where L is labor and K is capital. Suppose initial L1 = 1 and K1 = 1. When inputs are in increased to L2 = 2 and K2 = 2, do you observe increasing, decreasing or constant returns to scale? b. Assume Kia Head Office is considering hiring more laborers either at their Gwadar plant or alternatively at the Karachi plant. What will be your advice if workers’ marginal product is 40 at wage of Rs=5/hour in Karachi and marginal product is 28 at wage of Rs=4/hour in Gawdar?Cox Electric makes electronic components and has estimated the following for a new design of one of its products. Fixed cost = $23,750 Material cost per unit = $0.17 • Labor cost per unit = $0.12 • Revenue per unit = $0.67 Note that fixed cost is incurred regardless of the amount produced. Per-unit material and labor cost together make up the variable cost per unit. Assuming that Cox Electric sells all that it produces, profit is calculated by subtracting the fixed cost and total variable cost from total revenue. Construct an appropriate spreadsheet model to find the profit based on a given production level and use the spreadsheet model to answer these questions. (a) Construct a one-way data table with production volume as the column input and profit as the output. Breakeven occurs when profit goes from a negative to a positive value; that is, breakeven is when total revenue = the total cost, yielding a profit of zero. Vary production volume from 0 to 100,000 in increments of 10,000.…Direct Materials and Direct Labor Variance Analysis Shasta Fixture Company manufactures faucets in a small manufacturing facility. The faucets are made from brass. Manufacturing has 50 employees. Each employee presently provides 32 hours of labor per week. Information about a production week is as follows: Standard wage per hour $12.00 Standard labor time per unit 15 min. Standard number of lbs. of brass 1.5 lbs. Standard price per lb. of brass $11.00 Actual price per lb. of brass $11.25 Actual lbs. of brass used during the week 11,124 lbs. Number of units produced during the week 7,200 Actual wage per hour $12.36 Actual hours for the week (50 employees × 32 hours) 1,600 Required: a. Determine the standard cost per unit for direct materials and direct labor. Round the cost per unit to two decimal places. Direct materials standard cost per unit $fill in the blank 1 Direct labor standard cost per unit $fill in the blank 2 Total standard cost per unit $fill in…
- 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.Materials Management $12.00 per purchase order Chemical Processing $7.50 per metric ton Molding $24.00 per direct labor hour Packaging $0.10 per unit Engineering designs show that the order will require direct materials that cost $540; direct labor cost will be $90. The order will require four purchas orders to be placed, use two metric tons of chemical base, and need eight direct labor hours. The size of the order is to produce 3,000 units of product. How to calculate the total production of the order?Mukukulu Co uses a variance analysis system to monitor its performance. In a certain month the following data applies: – 1·4 tonnes of Raw material are needed at a cost of K60 per tonne – It takes 2 labour hours of work to produce 1 tonne of finished product and labour is normally paid K18 per hour. Idle time is expected to be 10% of hours paid; this is not reflected in the rate of K18 above. – 2 hours of variable overhead at a cost of K30 per hour – The standard selling price is K240 per tonne Budget information for the month is – Fixed costs were budgeted at K210,000 for the month – Budgeted production and sales were 8,400 tonnes The actual results for the month were as follows: Actual production and sales were 8,000 tonnes – 12,000 tonnes of raw material were bought and used, costing K660,000 – 15,800 labour hours were paid for, costing K303,360 – 15,000 labour hours were worked – Variable production overhead cost K480,000 – Fixed costs were K200,000 – Sales revenue achieved was…
- Workshape Manufacturing has two classes of distributors: JIT distributors and non-JIT distributors. The JIT distributor places small, frequent orders, and the non-JIT distributor tends to place larger, less frequent orders. Both types of distributors purchase the same product. The customer activities and costs for the previous quarter are as follows: Activity JIT distributors Non-JIT distributors Sales Orders 500 30 Sales Calls 30 30 Service Calls 200 90 Average Order Size 90 1,400 Manufacturing Cost/Unit $50 $50 Customer Costs: Processing Sales Orders $160,000 Selling Goods $155,000 Servicing Goods $195,000 Total $500,000 Calculate the activity rate for selling goods. (Note: Round answer to two decimal places.) a.$2,200.50 per sales call b.$9,400.60 per sales call c.$3,550.66 per sales call d.$2,583.33 per sales call e.$4,800.40 per sales call) The following data have been prepared for master production scheduling purposes in IKEA Australia: End product A: Beginning inventory of 60, Period forecast of 10, Lot size of 30, and 30 hours in lot size. End product B: Beginning inventory of 20, Period forecast of 5, Lot size of 20, and 20 hours in lot size. End product C: Beginning inventory of 30, Period forecast of 15, Lot size of 50, and 50 hours in lot size. Capacity: 38 hours/ week (i) Prepare the master production schedule for these items during the next four periods using the Ethan Allen master production scheduling method. (ii) Suppose that the master production schedule is frozen for the next three periods. What specific impact would the policy have on the IKEA's performance?A company plans to produce 25,000 units in a 3-month period. The months have 22, 21, and 20 working days, respectively. What should the average daily production be?