Mat 122 Project G A bicycle manufacturer makes a three-speed model and a ten-spe

Question

Mat 122 Project G A bicycle manufacturer makes a three-speed model and a ten-speed model. with two operations, assembly and painting. Each three-speed bike requires 1 hour to assemble and 2 hours to paint. Each ten-speed bike requires!- hour to assemble and 1 hour to paint. The assembly operation has 80 work hours per week available, and the painting operation has 100 work hours available each week. If the company makes $80 on each three-speed and 560 on each ten-speed bike, how many bicydles should be made and sola each week to maximize profits? on echwu Conshaits

Explanation / Answer

Solved the first linear problem as per Chegg guidelines, post multiple question to get teh remaining answers

Mat 122 Project G

Let the number of three speed bikes be x

Let the number of ten speed bikes be y

Constraints:

x + y <= 80 (for assemble)

2x + y <= 100 (for painting)

x>=0, y>=0 (since the number of cycles cannot be less than zero)

Objective Function:

Maximize z = 80x + 60y

Now in order to maximize the function, we need to solve

x + y = 80

2x + y = 100

x = 20 and y = 60

Objective Function, z = 80x + 60y = 80(20) + 60(60) = 5200$

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