5. The Furniture Problem: You run a small furniture business. You sign a deal with a customer to deliver up to 400 chairs, the exact number to be determined by the customer later. The price will be $90 per chair up to 300 chairs, and above 300, the price will be reduced by $0.25 per chair (on the whole order) for every additional chair over 300 ordered. What are the largest and smallest revenues your company can make under this deal? State the largest and smallest revenues in a complete sentence (with units!).

6. The Rectangle-Area Problem A rectangle has one side on the x-axis, one side on the y-axis, one vertex at the origin, and one on the curve y = 5e -x for x ? 0. Find the maximum area of this rectangle. State the dimensions of the rectangle and the maximum area in a complete sentence (with units!).

7. The Snow Cone Problem A snow cone shaped cup is to hold approximately 118 cm 3 of water. Find the height and radius of the snow cone cup that will require the least amount of paper. State the height and radius that will minimize the amount of paper in a complete sentence (with units!).

8. The Inscribed Rectangle Problem Find the dimensions of the rectangle of greatest area that can be inscribed in a semicircle of radius R. State the dimensions of the rectangle and the maximum area in a complete sentence (with units!).

5. The Furniture Problem You run a small furniture business. You sign a deal with a customer to deliver up to 400 chairs, the exact number to be determined by the customer later. The price will be $90 per chair up to 300 chairs, and above 300, the price will be reduced by $0.25 per chair (on the whole order) for every additional chair over 300 ordered. What are the largest and smallest revenues your company can make under this deal? State the largest and smallest revenues in a complete sentence (with units!).6. The Rectangle-Area Problem t rectangle has one side on the xaxis, one side on the yaxis, one vertex at the origin, and one on the curve 1: = Sen" for x a D. Find the maximum area of this rectangle. State the dimensions of the rectangle and the maximum area in a complete sentence {with units!]. 7. The Snow Cone Problem A snow cone shaped cup is to hold approximately 118 cm of water. Find the height and radius of the snow cone cup that will require the least amount of paper. State the height and radius that will minimize the amount of paper in a complete sentence (with units!).8. The Inscribed Rectangle Problem Find the dimensions of the rectangle of greatest area that can be inscribed in a semicircle of radius R. State the dimensions of the rectangle a nd the maximum area in a complete sentence {with units