8. (15 points) You are the chief financial officer at Cambridge Metal Works, which makes two sizes of gears. The smaller gear requires 4 hours of machining and 1 hour of polishing. The larger gear requires 1 hour of machining and 1 hour of polishing. To hold down labor costs, you decide the firm has a MAXIMUM of 24 hours per day for machining and 9 hours per day for polishing. Let x represent number of smaller gears produced and y represent number of larger gears produced. a. Multiple Choice: Correct linear inequality defining machining labor cost constraint is: A. C. 4 x + y 24 x+ y 9 B. D. Answer: 4 x+ y 9 x+ y 24 _____________ b. Multiple Choice: Correct linear inequality defining polishing labor cost constraint is: A. B. x+ y 9 4 x+ y 9 4 x + y 24 x+ y 24 C. D. Answer: _____________ c. True or False: Since there's no such thing as \"negative gears produced\