As mentioned below, the question i need it to be solved is 3.11 "NOT 3.2!!". but in order to solve question 3.11 you might need some data from question 3.2.

again please solve question 3.11.

Thanks.

3-11 In the situation of Exercise 3-2, suppose that the production requirements for products A and B in a period were fixed at 3000 and 2000 units, respectively. The product routing data and production rates are as shown in Exercise 3-2; however, suppose that both regular time and overtime options are available in the period. Capacity and cost data are shown in the following table: MACHINE HOURS AVAILABLE MACHINE COST PER HOUR MACHINE REGULAR TIME OVERTIME REGULAR TIME OVERTIME 400 80 $20 $30 340 68 30 40 160 0 40 50 300 60 50 70 Assume the same unit selling prices and unit raw material costs as given in Exercise 3-2. Formulate this production planning problem as a linear programming model. 1234 3-2 A department produces two parts, A and B, made according to the following routings: ON UNIT PROCESSING FRACTION TIME IN HOURS SCRAP OPERATION MACHINE M1 0.03 0.01 1 M2 0.07 0.05 M3 0.05 0.02 0.12 0.03 M1 0.10 M3 0.08 0.02 M4 0.17 0.07 M1 0.04 Machine operating cost data are as follows: COST PER HOUR HOURS OF PRODUCTION TIME AVAILABLE $20 400 30 340 40 410 50 160 Product data are as follows: SALES LEVEL CONSTRAINTS UNIT SELLING UNIT RAW PRICE MATERIAL COST MINIMUM MAXIMUM $ 60 $20 100 units None 100 25 150 units 250 units The problem is to schedule production for the department in the next period. Put this problem in linear programming form. Assume that all defective parts are immediately detected and removed. (Hint: Let X, and X, be the amount of each product started in the next period.) Product A Product B MACHINE 1234 231234 PRODUCT A B Exercises 167