✓ An engineering firm recently conducted a study to determine its benefit and cost structure. The results of the study are as follows: B(Y) = 300Y- 6Y² C(Y) = 4Y² so that MB = 300 - 12Y and MC = 8Y. The manager has been asked to determine the maximum level of net benefits and the level of Y that will yield that result.
✓ An engineering firm recently conducted a study to determine its benefit and cost structure. The results of the study are as follows: B(Y) = 300Y- 6Y² C(Y) = 4Y² so that MB = 300 - 12Y and MC = 8Y. The manager has been asked to determine the maximum level of net benefits and the level of Y that will yield that result.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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I need this fully broken down for me Like How we get B(y) and C(y) to turn into Marginal Benefit (MB) and Marginal Cost (MC) and so on and so fourth.
Typed plzzzz And Asap

Transcribed Image Text:An engineering firm recently conducted a study to determine its benefit and cost structure. The results of the study are as follows:
B (Y) = 300Y - 6Y²
C(Y) = 4Y²
so that MB = 300 - 12Y and MC = 8Y. The manager has been asked to determine the maximum level of net benefits and the
level of Y that will yield that result.
ANSWER:
Equating MB and MC yields 300- 12Y = 8Y. Solving this equation for Y reveals that the optimal level of Y is Y* = 15.
Plugging Y* = 15 into the net benefit relation yields the maximum level of net benefits:
NB = 300 (15) (6) (15²) – (4) (15²) = 2,250
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