Gordy Knotworthy, owner of a small woodworking shop that employs five skilled craftsmen, is planning the shop's production schedule for the next week. For this purpose, he has formulated the linear program (shown on the third page of this problem) to model the following circumstances.

The shop manufactures 3 wood products, which it sells to a large sporting goods company: persimmon golf club heads, ash tennis racquet frames, and ash baseball bats. Gordy seeks to maximize profits, and expects to net $25 for each club head, $30 for each racquet frame, and $10 for each baseball bat the shop produces. To be feasible, the production schedule must satisfy certain limitations. Next week's production (C = the number of club heads produced, R = the number of racquet frames produced, and B = the number of baseball bats produced) is limited by the amount of wood stock available. At most, only 120 club heads can be made with the persimmon in stock, whereas a total of 140 racquet frames and bats can be made with the ash on hand. Also, the shop's maximum total production cannot exceed 160 units, due to limitations in the shop's dust-free varnishing and finishing room. Gordy's employees are loyal to his shop, in part because Gordy has always guaranteed them that he will schedule at least 40 hours of work each week for each employee. (This can be seen in the final constraint, where each club head requires 2 hours of work, each racquet requires 1 hour, and each bat requires 30 minutes.) You should consult the attached output to address the following independent questions.

f. Gordy is not obligated to offer anyone in the shop more than 40 hours of work each week, but he does guarantee each employee 40 hours worth of wages. He even pays employees who miss a day of work, if the worker get his permission for absence. Suppose that one of his workers, who earn $12.50 per hour, asks to be excused on Friday so that he can go fishing with his children. This will reduce the number of hours that Gordy has to schedule. Based solely on the effect this would have on next week's profits, should Gordy let his worker have a paid day off? Explain.