41. [13 Points] BERRAPCALCBRT 3.3.039. ASK YOUR TEACHER BoxedNGone truck ientals calculates that its price function is p(x) : 180 a 3x, where p is the price (in dollars) at which exactly X trucks will be rented per day. Find the number of trucks that BoxedNGone should rent and the price it should charge to maximize revenue. Also find the maximum revenue. ciuanitv E trucks :6: revenue $: 42. [12 Points] BERRAPCALCBR7 3.3.041 . ASK YOUR TEACHER A real estate company wants to build a parking lot along the side of one of its buildings using 400 feet of fence. If the side along the building needs no fence, what are the dimensions (in ft) of the largest possible parking lot? side parallel to the building : ft side perpendicular to the building S ft 43. [-12 Points] BERRAPCALCBR7 3.3.043. ASK YOUR TEACHER A farmer wants to make three identical rectangular enclosures along a straight river, as in the diagram shown below. If he has 1,200 yards of fence, and if the sides along the river need no fence, what should be the dimensions of each enclosure if the total area is to be maximized? side perpendicular to the river \\:| yd side parallel to the river \\:| yd 44. [11 Points] BERRAPCALCBRT 3.3.044. ASK YOUR TEACHER What is the area of the largest rectangle whose perimeter is 104 feet? 45. [14 Points] BERRAPCALCBR7 3.3.045. ASK YOUR TEACHER An openatop box is to be made from a square piece of cardboard that measures 24 inches by 24 inches by removing a square from each corner and folding up the sides. What are the dimensions and volume of the largest box that can be made in this way? length S in width S in height : in volume S in3 46. [-11 Points] DETAILS BERRAPCALCBR7 3.3.047. Find the two i'IL ASK YOUR TEACHER imbers whose sum is 40 and whose product is a maximum (Enter your answers as a commaaseparated list.)