Question

a bike requires 2 hours of assembly and a swing 3 hours. a maximum of 250 hours of assembly time are available. the profit is $50 on a bike and $20 on a swing. if no more than 100 items can be produced how many of each should be assembled for maximum profit?

Answer 1

The assemble for maximum profit  is mathematically given as

For maximum profit, 100 tire and 0 strings must be assembled.

How many of each should be assembled for maximum profit?

Generally, the equation for the max number  is mathematically given as

Mx=50x+20y

Therefore

2x+3y \leq 250

x1+x\leq=100

Therefore

with cordinates of

(0,0)

(100,0)

(50,50)

(0,250/3)

In conclusion, The mx of 50x+20y is (100,0)

Hence, for maximum profit 100 tire and 0 strings must be assembled.

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