1. to maximize the profit, the company should produce ______ manual can openers, and _______ electric can openers2. the maximum profit is $_____

A company produces two types of can openers: manual and electric. Each requires in its manufacture the use of two machines: A, and B. Each manual can opener requires the use of machine A for 2 hours, and machine B for 1 hour. An electric can opener requires 1 hour on A, and 2 hours on B. Furthermore, suppose the maximum numbers of hours available per month for the use of machines A, B are 90, 60 respectively. The profit on a manual can opener is $1.5, and on an electric can opener it is $2. If the company can sell all the can openers it can produce, how many of each type should it make in order to maximize the monthly profit? In order to solve this linear programming problem answer the following questions: Let us denote by x = number of manual can openers . y = number of electric can openers i) For the objective function C(x, y) =ax +by we have