types of display cabinets, type X and type Y. On a weekly basis, he must produce at least 2 of each type, but not mote than 5 of type X or more than 6 of type Y. It takes 4 hours to produce type X and 5 hours of type Y in a 40 hour working week. At least 12 workers are needed with 2 working on type X and 3 on type Y at any one time. Assume that the profit on type X is Php800 and profit on type Y is Php1000.
types of display cabinets, type X and type Y. On a weekly basis, he must produce at least 2 of each type, but not mote than 5 of type X or more than 6 of type Y. It takes 4 hours to produce type X and 5 hours of type Y in a 40 hour working week. At least 12 workers are needed with 2 working on type X and 3 on type Y at any one time. Assume that the profit on type X is Php800 and profit on type Y is Php1000.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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A furniture manufacturer produces two types of display cabinets, type X and type Y. On a weekly basis, he must produce at least 2 of each type, but not mote than 5 of type X or more than 6 of type Y. It takes 4 hours to produce type X and 5 hours of type Y in a 40 hour working week. At least 12 workers are needed with 2 working on type X and 3 on type Y at any one time. Assume that the profit on type X is Php800 and profit on type Y is Php1000.
Transcribed Image Text:A furniture manufacturer produces two types of display cabinets, type X and type Y. On a weekly
basis, he must produce at least 2 of each type, but not mote than 5 of type X or more than 6 of
1.
type Y. It takes 4 hours to produce type X and 5 hours of type Y in a 40 hour working week. At
least 12 workers are needed with 2 working on type X and 3 on type Y at any one time. Assume
that the profit on type X is Php800 and profit on type Y is Php1000.
A. Formulate the linear programming problem that optimizes the weekly total profit.
B. Solve the problem graphically. Paste your graph inside the box.
C. What are the corner points of the feasible region and what is the optimal weekly total
profit?
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