Three components for sale to refrigeration companies

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Reference no: EM132241226

CWD 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: machine Components sharper grinder 1 6 4 2 4 5 3 4 2 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. Let C1 = units of components 1 manufactured C2 = units of components 2 manufactured C3= units of components 3 manufactured MAX 8C1 + 6C2 + 9C3 s.t 6C1 + 4C2 +4C3 <=7200 4C1 + 5C2 + 2C3 <=6600 C3 <= 200 C1 <=1000 C2 <=1000 C1<= 600 C1, C2,C3>=0 Answer the following questions (a-i) using the output below please be brief. If there are two possible answers one will suffice. Where necessary a range analysis must be shown.(hint convert to minutes)

a) What is the optimal solution (in words?

b) An additional 4 hours of shaper time became available. Evaluate the effect? Explain

c) Two hours of Grinder time was lost. Evaluate the effect?

d) An additional 20 units of component 3 was requested. Evaluate the effect

e) The demand for component 2 decreased by 30 units. Evaluate the effect

f) Suppose that the profit contribution of component 1 increases to $9.00. What is the new optimal solution?

g) Suppose that the profit contribution of component 3 decrease by $2.00. Would the optimal solution change

h) Is the problem degenerate? Explain! (2 marks) i) Are there alternative optima in this problem? Explain

Reference no: EM132241226

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