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Subject Solutions Code Description Price Delete

## Question 1: Plants A, B, and C produce products I, II, and III. The rate of production (units per hour) of each product in the different plants is given in the table below: PRODUCT PLANT A B C I 4 6 5

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Question 1: Plants A, B, and C produce products I, II, and III. The rate of production (units per hour) of each product in the different plants is given in the table below: PRODUCT PLANT A B C I 4 6 5 II 3 4 3 III 2 3 2 The three plants may purchase a limited number of production hours at different prices according to the following table: PLANT MAXIMUM NUMBER OF HOURS PRICE PER HOUR A 250 \$ 10 B 300 \$ 8 C 200 \$ 12 The demand and the unit sale price for the 3 products are given in the following table: PRODUCT DEMAND PRICE PER UNIT I 500 units \$ 50 II 800 units \$ 40 III 700 un...

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## Solution Preview

QUESTION 1
1. Formulate as an LP model.
Total products produced per hour;
X1: 4+6+5=15 units/hr.
X2: 3+4+3=10 units/hr.
X3: 2+3+2=7 units/hr.
Profit;
(15*50)-\$10= \$740
(10*40)-\$8= \$392
(7*30)-\$12= \$198
Hence Objective function

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