Solve the problem. 7) A logo baseball cap manufacturer has a uniform annual demand of 30,000 caps. It costs $4 to store one baseball cap for 1 year and $ 600 to set up the plant for production of the logo baseball caps. How many times a year should the company produce the caps in order to minimize the total storage and set-up costs? (Assume that there are 250 working days per year.) A) The company will minimize its costs by making 3000 caps ten times during the year. B) The company will minimize its costs by making 7500 caps four times during the year. C) The company will minimize its costs by making 3750 caps eight times during the year. D) The company will minimize its costs by making 2143 caps fourteen times during the year. Solve the problem. 7) A logo baseball cap manufacturer has a uniform annual demand of 30,000 caps. It costs $4 to store one baseball cap for 1 year and 8600 to set up the plant for production of the logo baseball caps. How many times a year should the company produce the caps in order to minimize the total storage and set-up costs? (Assume that there are 250 working days per year.) A) The company will minimize its costs by making 3000 caps ten times during the year. B) The company will minimize its costs by making 7500 caps four times during the year. C) The company will minimize its costs by making 3750 caps eight times during the year. D) The company will minimize its costs by making 2143 caps fourteen times during the year. 8) The rectangular box below, with an open top and one partition, is to be constructed from 162 square cm of cardboard. Find the dimensions (x by y by z) that will result in a box with the largest possible volume. A) 6 cm by 6 cm by 9 cm C) 9 cm by 9 cm by 3 cm B) 6 cm by 9 cm by 3 cm D) 9 cm by 6 cm by 3 cm Find the limit, if it exists. 6) Find lim x 6) - X ot ex A) ex B) C). D)0 2) Find y" for y = x4 - 8x1/2 A) 4x3+ Max B) 12x2 . c) 4x3. D) 12x2 +