Question

A company produces two types of candy, A and B. Studies in the popularity of these candies show that the number of Type B minus the number of Type A sold (per year) cannot exceed 10,000 units. Also, Type A will not sell more than twice as many units as Type B. The company has a binding contract with a local supplier and has to provide at least 8,000 total units of candy to it each year. Unfortunately, the candy of Type A is popular because it is sold very cheaply, at a loss of $150 per thousand units. The profit on candy B is $120 per thousand units. Let O be the optimal profit for the company, while x and y represent the number of units in thousands) produced of Type A and Type B candies, respectively. 4c) List the coordinates of all the corners for this feasible region, and the value of the profit for each of these corners. [3 marks] The corners are: Year-end yield corresponding to each corner