Question #161304

A manufacturing concern manufactures two products A and B. The products go through three processes: processing, fabrication and assembly. The manufacturing time per unit required to make them, the profit per unit, and the capacity available at each work center are as follows :

WORK CENTER (IN HOURS)

product Machining frabication assembly profit per unit

A 1 5 3 80

B 2 4 1 100

total capacity 720 1800 900


A) Formulate the above information to optimize the profit of the manufacturing concern

B) Find graphical solution.


1
Expert's answer
2021-02-24T06:53:44-0500

A)

x is the number of products A, y is the number of products B

x+2y720x+2y\leq720

5x+4y18005x+4y\leq1800

3x+y9003x+y\leq900

x0,y0x\geq0,y\geq0

Objective: 80x+100y80x+100y\to max


B)



Maximum of objective function (profit) is at point (120,300)(120,300) :

80120+100300=3960080\cdot120+100\cdot300=39600


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