A mutual fund manager is deciding how much money to invest in each of three companies: Atlantic Oil (A),Pacific Oil (P),and Gulf Oil (G).The money invested in Gulf Oil must equal at least 30% of the money invested in the other two companies.A correct modeling of this constraint is
A)0.7A + 0.7P + .3G 0
B)-0.3A - 0.3P + G 0
C)0.7A + 0.7P - G 0
D)0.35A + 0.35P + 0.3G 0

Question

A mutual fund manager is deciding how much money to invest in each of three companies: Atlantic Oil (A),Pacific Oil (P),and Gulf Oil (G).The money invested in Gulf Oil must equal at least 30% of the money invested in the other two companies.A correct modeling of this constraint is​
A)​0.7A + 0.7P + .3G > 0
B)​-0.3A - 0.3P + G > 0
C)​0.7A + 0.7P - G > 0
D)​0.35A + 0.35P + 0.3G > 0

Quizplus · Accepted Answer

The constraint that the money invested in Gulf Oil (G) must equal at least 30% of the money invested in the other two companies (A and P) can be modeled as G ≥ 0.3A + 0.3P, which rearranges to -0.3A - 0.3P + G ≥ 0, matching option B.

A Mutual Fund Manager Is Deciding How Much Money to Invest