**PLEASE ANSWER ALL PARTS, THANK YOU** Problem 3-23 components for sale to refri
ID: 3035263 • Letter: #
Question
**PLEASE ANSWER ALL PARTS, THANK YOU**
Problem 3-23 components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times Vollmer Manufacturing makes three minutes) required on each machine are as follows: Machine Shaper Grinder Component The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component 3 can be sold, but up to 1000 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. a. Formulate and solve for the recommended production quantities. Let C1 units of component 1 manufactured C2 units of component 2 manufactured C3 units of component 3 manufacturedExplanation / Answer
Profit function P = 8C1 + 6C2 + 9C3
Shaper available for 12 hrs : 6C1 +4C2 +4C3 < = 120*60
6C1 + 4C2 + 4C3 <= 7200
Grinder for 110 hrs
4C1 + 5C2 + 2C3 < = 110*60
4C1 + 5C2 + 2C3 <= 6600
C3 < = 200
C1 < =1000
C2 < =1000
C1 >= 600
Optimal Solution: p = 10800;
C1 = 600, C2 = 700,C3 = 200
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