Homework SourseThe gourmet Grill compay manufactures and sells two differen
The gourmet Grill compay manufactures and sells two different types of grills: propane and electric. Each propane sells for $320 and costs $220 to make. Each electric grill sells for $260 and costs $180 to make. Each grill goes through four operations in the maufacturing process. The hours required by each type of grill in each of the of these manufacturing processes is summarized as follows:
Total Available
Hours
Assume gourmet Grill can sell everythingit makes and would like to determine the production plan that would maximize profit.
a.)Formulate an LP model for this problem
b.) Sketch the feasible region
c.) Determine the optimal solution to this problem using level curves
d.) Find the objective value
| Manufacturing Process | Propane | Electric | Total Available Hours |
|---|---|---|---|
| Machine Press | 2 | 1 | 2400 |
| Fabrication | 4 | 5 | 6000 |
| Assembly | 2 | 3 | 3300 |
| Testing | 1 | 1 | 1500 |
Solution
a)
Product Machine Press(a) Fabrication(b) Assembly(c) Testing(d)
Propane x1 2 4 2 1
Electric x2 1 5 3 1
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HOurs 2,400 6000 3300 1500
2a1+1a2<2,400
a1+a2<800
a1+a2<0
4b1+5b2<6000
b1+b2<300
b1+b2<0
2c1+3c2<3,300
c1+c2<550
c1+c2<0
1d1+1d2<1,500
d1+d2<0
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