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Baz, Jeremy & Powell is an investment firm that manages stock portfolios for their clients. The firm has developed a linear optimization model to assist
Baz, Jeremy & Powell is an investment firm that manages stock portfolios for their clients. The firm has developed a linear optimization model to assist with stock portfolio decisions. The firm is currently trying to decide how much of one particular client's available cash ($40,000) to invest in each of 3 possible stocks: a tech-company stock that is seen as high risk, a drug-manufacturing company stock that is seen as moderate risk and a low risk consumer-products company stock. Denote the amount of cash put into the tech-company stock as TC, the amount put into the drug- manufacturing company stock as RX and the amount put into the consumer-products company stock as PG. Because of the differences in risk for each of these, the firm has decided to have at least twice as much invested in the consumer-products company stock as in the tech-company stock. The firm also wants at least $20,000 invested in the tech company stock. Which of the following represents the correct formulation of the constraints as described here for this optimization model? O TC + RX + PG = 15,000 PG >= 2TC TC, RX, PG > = 0 O TC + RX + PG = 15,000 PG + TC >= 0 TC, RX, PG > = 0 O TC + RX + PG = TC TC, RX, PG > = 0 O TC + RX + PG = 20,000 PG >= 2TC TC, RX, PG >= 0
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