A company has 2 jobs, jobs A and job B. In order for the company to be profitable it must process 100 jobs a week. Job A can process a minimum of 15 per week, and job B can process a minimum of 25 per...

A company has 2 jobs, jobs A and job B. In order for the company to be profitable it must process 100 jobs a week. Job A can process a minimum of 15 per week, and job B can process a minimum of 25 per week. Job makes a profit of $50.00 per job, and Job B makes a profit of $40 per job. In order to maximize profits for the company, how much of each job needs to be sold?

Given the linear program

Max 50A + 40B

s.t.

       A + B <>

       A >= 15

       B>= 25

What is the optimal solution for A?

What is the optimal solution for B

What is the total profit?