The profit (in dollars) from selling x units of calculus textbooks is given by $p = - 0.05 x ^ { 2 } + 20 x - 3000$ . Find the additional profit when the sales increase from 149 to 150 units. Round your answer to two decimal places.
A)$5.05
B)$20.00
C)$5.15
D)$10.20
E)$10.00

Question

Quizplus · Accepted Answer

To find the additional profit when sales increase from 149 to 150 units, calculate the profit for 150 units and subtract the profit for 149 units. For 150 units: $p = -0.05(150)^2 + 20(150) - 3000 = -0.05(22500) + 3000 - 3000 = -1125 + 3000 - 3000 = -1125$. For 149 units: $p = -0.05(149)^2 + 20(149) - 3000 = -0.05(22201) + 2980 - 3000 = -1110.05 + 2980 - 3000 = -1130.05$. The additional profit is $1130.05 - 1125 = 5.05$.

The Profit (In Dollars) from Selling X Units of Calculus p=−0.05x2+20x−3000p = - 0.05 x ^ { 2 } + 20 x - 3000p=−0.05x2+20x−3000

The Profit (In Dollars) from Selling X Units of Calculus $p = - 0.05 x ^ { 2 } + 20 x - 3000$