SMC produces two types of GPU. One is gaming GPU (Type 1) and the other is pro GPU (Type 2). Their market data are listed below. a. What is the total profit generated from the two products, as a function of the two decision variables p1 and p2? b. When does the profit function reach its optimal value? c.The production capacity of TSMC semiconductors is constrained by 2v1 + v2 ≤ μ. What is the range of μ that makes the solution point not on the constraint boundary? *please solve a-c and either type or neatly write your answers and all your work on paper. NO EXCEL* thank you!
SMC produces two types of GPU. One is gaming GPU (Type 1) and the other is pro GPU (Type 2). Their market data are listed below. a. What is the total profit generated from the two products, as a function of the two decision variables p1 and p2? b. When does the profit function reach its optimal value? c.The production capacity of TSMC semiconductors is constrained by 2v1 + v2 ≤ μ. What is the range of μ that makes the solution point not on the constraint boundary? *please solve a-c and either type or neatly write your answers and all your work on paper. NO EXCEL* thank you!
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
SMC produces two types of GPU. One is gaming GPU (Type 1) and the other
is pro GPU (Type 2). Their market data are listed below.
a. What is the total profit generated from the two products, as a function of
the two decision variables p1 and p2?
b. When does the profit function reach its optimal value?
c.The production capacity of TSMC semiconductors is constrained by
2v1 + v2 ≤ μ.
What is the range of μ that makes the solution point not on the constraint boundary?
*please solve a-c and either type or neatly write your answers and all your work on paper. NO EXCEL* thank you!
Transcribed Image Text:Table 2: GPU Production Data
Type volume/price relationship fixed cost(c;) unit variable cost(c,)
v1 = 4, 000 – 4p1
v2 = 1, 500 – p2
1
400,000
400
250,000
500
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