Solve the problem.Rejoyne Inc. has a marginal-profit function given by P'(x) = -3x + 140, where P'(x) is in dollars per unit.This means that the rate of change of total profit with respect to the number of units produced, x, is
Find the total profit from the production and sale of the first 40 units.
A. $80
B. $6400
C. $3200
D. $20
Answer: C
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Simplify.
A. 40 B. -9 C. not a real number D. 9
Solve the problem.The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate-covered raisins, which usually sells for $3 per pound, and chocolate-covered macadamia nuts, which usually sells for $8 per pound. They have a barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per pound for the mixture?
A. 98 lb B. 91 lb C. 112 lb D. 105 lb
Solve the problem.A projectile is fired with an initial velocity of 400 feet per second at an angle of 45° with the horizontal. In how many seconds will the projectile strike the ground? (Round your answer to the nearest tenth of a second.) The parametric equations for the path of the projectile are x = (400 cos 45°)t, and y = (400 sin 45°)t - 16t2.
A. 25.8 sec B. 17.7 sec C. 22.5 sec D. 14.3 sec
Convert as indicated. If necessary, round to two decimal places.54 quarts to liters
A. 14.04 L B. 57.24 L C. 51.3 L D. 204.66 L