Question

A manufacturer produces two models of mountain bikes. Model A requires 5 hours of assembly time and 2 hours of painting time, and Model B requires 4 hours of assembly time and 3 hours of painting time. The maximum total weekly hours available in the assembly department and the painting department are 200 hours and 108 hours, respectively. The profits per unit are $25 for Model A and $15 for Model B. How many of each type should be produced to maximize profit?



bikes of Model A



bikes of Model B

What is the maximum profit? $

Answer 1

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try that while I look at your problem

Answer 2

I get 40 of A, 0 of B
for profit = 1000

maximize
25 x + 15 y
constraints
5x+4y<=300
2x+3y<=108
x>=0
y>=0
x+y>=1 (phony to fill fields)

Answer 3

Appericate it !

Answer 4

A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $10 per acre. Seed for crop B costs $20 per acre. The farmer can spend at most $500 on seed. If crop B brings in a profit of $310 per acre, and crop A brings in a profit of $120 per acre, how many acres of each crop should the farmer plant to maximize her profit?