Suppose a firm is considering two different activities, X and Y, which yield the total benefits presented in the schedule below. The price of X is $2 per unit, and the price of Y is $10 per unit.a. The firm places a budget constraint of $26 on expenditures on activities X and Y. What are the levels of X and Y that maximize total benefit subject to the budget constraint?b. What is the total benefit associated with the optimal levels of X and Y in part a?c. Now let the budget constraint increase to $58. What are the optimal levels of X and Y now? What is the total benefit when the budget constraint is $58?

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Total benefit Total benefit of activity X (TB) Level of of activity Y (TB,) activity $ 0 $ 0 1 30 100 2 54 190 3 72 270 4 84 340 5 92 400 6. 98 450