The management of the Bovill Mukluk Factory (BMF) has decided to expand its prod
ID: 3239162 • Letter: T
Question
The management of the Bovill Mukluk Factory (BMF) has decided to expand its product mix. Market research studies have focused on diversifying the product line. BMF has decided to produce two lines of laptop computer cases: X-gens & Yeepies. Production is simple - cutting & sewing only. Assume this is a one day plan and they can sell all that are produced during the day. Contribution to profit is exist30 per case for X-gens and exist80 for Yeepies. The cutting line can run 1 1/2 shifts per day and the sewing line 2 shifts per day (assume 8 hr per shift). The boss's son who unfortunately attended Bovill State University has Just been placed in charge of supervising the Yeepie product line. Despite the BSU degree of your boss, you, as chief analyst, decide to require the production of at least two X-gens cases per day. BMF wants to know the number of X-gens and Yeepies to produce in order to maximize its total profit. How many of what should we produce per day to maximize profit?Explanation / Answer
Ans:X1 is number of cases of X gen
X2 is the number of cases of yeepies
The optimal solution value is Z = 300
X1 = 2
X2 = 3
The below given is simplex(two phase method) to solve above optimization model.
The leaving variable is P6 and entering variable is P1.
There is any possible solution for the problem, so we can continue to Phase II to calculate it.
The leaving variable is P4 and entering variable is P2.
The optimal solution value is Z = 300
X1 = 2
X2 = 3
2 X1 + 4 X2 16
1 X1 + 0 X2 2 X1, X2 0
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