Please help me solve the following problem: Vollmer Manufacturing makes three co

Question

Please help me solve the following problem:

Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: 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. Formulate and solve for the recommended production quantities. Let C_1 = units of component 1 manufactured C_2 = units of component 2 manufactured C_3 = units of component

Explanation / Answer

max Z = 8c1 + 6c2 + 9c3

s.t.

6c1+4c2+4c3 <= 120

4c1+5c2+2c3 <= 110

                   c3 <= 200

                   c1 <= 1000

                   c2 <= 1000

                c1 = 600

c1,c2,c3>=0

Optimum Solution : infeasible Solution

c1 = c2 = c3 =

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