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Department 3 has 2500 hours. Transfers are allowed to departments 2 and 4, and from departments 1 and 2. If Ai measures the labor hours allocated to department i and Tij the hours transferred from department i to department j, then

a. T13 + T23 - T32 - T34 - A3 = 2500
b. T31 + T32 - T23 - T43 + A3 = 2500
c. A3 + T13 + T23 - T32 - T34 = 2500
d. A3 - T13 - T23 + T32 + T34 = 2500

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

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