1. (For all you Econ majors!) Two products are manufactured in quantities q and 92, and sold at prices P1 and P2, respectively. The cost of producing them is given by C = 2q + 2q + 10. a) Find the maximum profit that can be made, assuming the prices are fixed. b) Find the rate of change of that maximum profit as p increases. 2. The post office will accept packages whose combined length and girth is at most 130 inches. (Girth is the maximum distance around the package perpendicular to the length; for a rectangular box, the length is the largest of the three dimensions.) What is the largest volume that can be sent in a rectangular box?