You have two final exams coming up: marxism, and fantasy-fiction. (can you tell them apart? ) you believe that if you read k pages of das kapital, and l pages of the lord of the rings, your gpa will be ako.1l04, where a is a positive parameter. it takes you r minutes to read each page of das kapital, and w minutes to read each page of the lord of the rings. you have a target g of the gpa you want to achieve (to get that coveted law-school admission), but don't want to spend a minute more reading than you have to. both books are very long, and you are not going to be able to read either of them fully. so you want to choose k and l to minimize the total number of minutes m it takes you to achieve your target g 1. find a formula giving the total number of minutes m you have to spend reading, as a function of your gpa target g, and of a, w, r. 2. prove that the marginal time-cost of your gpa is twice the average time-cost note: in your calculations you will come across messy expressions like 0.202 and 0.80.8. you do not need to evaluate them numerically; just carry them like that in your formulas