
Basics of Engineering Economy 2nd Edition by Anthony Tarquin,Leland Blank
Edition 2ISBN: 978-0073376356
Basics of Engineering Economy 2nd Edition by Anthony Tarquin,Leland Blank
Edition 2ISBN: 978-0073376356 Exercise 7
Benjamin used regression analysis to fit quadratic relations to monthly revenue and cost data with the following results:
R = 0.007 Q2+ 32 Q
TC = 0.004 Q2+ 2.2 Q + 8
a. Plot R and TC. Estimate the quantity Q at which the maximum profit should occur. Estimate the profit at this quantity.
b. The profit relation Profit = R TC and calculus can be used to determine the quantity Q p at which the maximum profit will occur, and the amount of this profit. The equations are:
Profit = aQ2+ bQ + c
Q p = b /2 a
Maximum profit = b 2 /4 a + c
Use these relations to confirm the graphical estimates you made in ( a ). (Your instructor may ask you to derive the relations above.)
R = 0.007 Q2+ 32 Q
TC = 0.004 Q2+ 2.2 Q + 8
a. Plot R and TC. Estimate the quantity Q at which the maximum profit should occur. Estimate the profit at this quantity.
b. The profit relation Profit = R TC and calculus can be used to determine the quantity Q p at which the maximum profit will occur, and the amount of this profit. The equations are:
Profit = aQ2+ bQ + c
Q p = b /2 a
Maximum profit = b 2 /4 a + c
Use these relations to confirm the graphical estimates you made in ( a ). (Your instructor may ask you to derive the relations above.)
Explanation
(a) ot shows maximum quantity at about 1...
Basics of Engineering Economy 2nd Edition by Anthony Tarquin,Leland Blank
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