You are the foreperson of a processing plant that produces Vidalia onion relish. The relish is produced in an assembly line plant with stations with the following characteristics: Station Min Crew Station Capacity Max Crew Wage Rate Labor Standard Receiving Sorting Chopping Міixing Bottling Boxing/Shipping Administration 5000 lb/hr 4 $8.00/hr 1,500 lb/hr $7.50 $8.00 2 6,000 1,000 3,000 1 6,000 2 5,000 4 $8.50 1,500 $9.50 2,500 1,500 1 5,000 2 9,000 4 $7.00 2 2 $20.00 Utilities at the plant run at $50/hr regardless of the plant speed. 1. Construct the total labor cost curve for this plant using the economic engin- nering approach outlined in class. Report the costs in a table and on a graph (doesn't need to be perfectly to scale) for quantities 0 to 5000 lb/hr. Assume that your relish has two ingredients: onion and spices. The onion costs $0.50 per pound, the spices cost $0.25 per jar, the jar costs $0.05, and the case for 12 jars costs $0.25. Each jar holds one pound of relish which requires 2 pounds of onion. Use your answer from problem 1 (remember to factor in utility costs) to find the total variable cost per hour and average variable cost per pound for the relish when 2. Fo00 L /1

Component C Component D Product A Component F (5 reqd) End Products Components MPS (units) Use Capacity Bill planning on the following data to determine the number of work hours for Work Center 200 in Period 1. (Keep 1 decimal place in your answer) Capacity Details Your Answer: Product A Product B Component C Component D Component E Component F Product A Product B 10 1 of 1 20 1 of 1 48 1 of 2 120 2 of 2 25 1 of 1 Lot Operation Work Center Std Setup 20 1 of 1 60 1 of 1 1 Component D (2 reqd) 100 20 Product B 2 100 25 100 100 200 300 200 200 200 - Component E (3 reqd) 3 15 0.8 0.8 1.0 20 2.0 2.0 Period 4 120 Std Setup per unit 5 250 10 Std Run Time per unit 0.0250 1.2500 05750 14500 07500 0 0800 00425 6 200 25 Total Hours per unit 85 30

Compute the capacity (i.e. processing rate) for each of the following scenarios. Convertyour answers to parts per hour.a. A four-station line with single-machine stations, where the average processing timesare 15, 20, 10 and 12 minutes, respectively.b. A three-station line where the number of machines at stations 1, 2 and 3 is 2, 6, and3, respectively; and the average processing times are 10, 24 and 18 minutes,respectively.

9. The Ace Manufacturing Company has orders for three similar products: Orders Product (units) A 2000 500 1200 B C 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 per- centages 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 as follows: Сараcity (units) Product Machine Machine A в C 1500 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 1 1500 1000 3 Use the transportation model to develop the minimum cost production schedule for the products and machines. Show the linear programming formulation. 123