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. Val Qu tion 20 A company produces two types of can openers: manual and electric. Each requires in its et red 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 d out of 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 1. For the objective function C(x, y) = ax + by we have a and b 2. To maximize the profit, the company should produce manual can openers, and electric can openers. 3. The maximum profit is $ Input your answers as an integer or a real number with one decimal place, e.g., -7, or 0.5