game… Show more Suppose that the quantity supplied S and quantity demanded D of baseball caps at a major league game are given by the functions S(p) = 5250 – 40p and D(p) = 170p, where p is the price. Find the equilibrium price for caps at the game. Then find the equilibrium quantity. 12) A) $130, $4250 B) $25, $4250 C) $30, $4050 D) $130, $50 13) Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.80. The total cost to regrind 80 platens is $500. Find the linear cost function to regrind platens. If reground platens sell for $9.80 each, how many must be reground and sold to break even? (Sec. 4.1/Textbook) 13) A) C(x) = 1.80x + 356; 31 platens B) C(x) = 1.80x + 500; 63 platens C) C(x) = 1.80x + 356; 45 platens D) C(x) = 1.80x + 500; 44 platens 14) A farmer has 400 yards of fencing to enclose a rectangular garden. Express the area A of the rectangle as a function of the width x of the rectangle. What is the domain of A? (Sec. 3.6/Textbook) 14) A) A(x) = -x2 + 200x; {x|0 < x < 400} B) A(x) = -x2 + 400x; {x|0 < x < 400} C) A(x) = x2 + 200x; {x|0 < x < 200} D) A(x) = -x2 + 200x; {x|0 < x < 200} 15) A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 64 feet and the radius of the hemisphere is r feet, express the volume of the silo as a function of r. (Sec. 3.6/Textbook) 15) A) V(r) = Δ(64 - r) + 4 3 Δr2 B) V(r) = Δ(64 - r)r3 + 4 3 Δr2 C) V(r) = 64Δr2 + 8 3 Δr3 D) V(r) = Δ(64 - r)r2 + 2 3 Δr3 16) Let P = (x, y) be a point on the graph of y = x. Express the distance d from P to the point (1, 0) as a function of x. (Sec. 3.6/Textbook) 16) A) d(x) = x2 - x + 1 B) d(x) = x2 - x + 1 C) d(x) = x2 + 2x + 2 D) d(x) = x2 + 2x + 2 • Show less