Table 10-7 The Elastic Firm Has Two Products Coming on the Market

Table 10-7
The Elastic Firm has two products coming on the market: Zigs and Zags.To make a Zig,the firm needs 10 units of product A and 15 units of product B.To make a Zag,they need 20 units of product A and 30 units of product B.There are only 2,000 units of product A and 3,200 units of product B available to the firm.The profit on a Zig is $4 and on a Zag it is $6.Management objectives in order of their priority are:
(1) Produce exactly 50 Zigs.
(2) Achieve a target profit of at least $750.
(3) Use all of the product B available.
Let X₁ = number of Zigs,X₂ = number of Zags.
d₁^- = underachievement of Zig goal
d₁⁺ = overachievement of Zig goal
d₂^- = underachievement of profit target
d₂⁺ = overachievement of profit target
d₃^- = unused product B
d₃⁺ = additional amount of product B needed
-In the goal programming problem described in Table 10-7,how is the goal of the use of all product B available expressed?

A) 15X₁ + 30X₂ + d₃^- - d₃⁺ = 3200
B) X₁ + X₂ + d₃^- - d₃⁺ = 3200
C) X₁ + X₂ + d₃^- = 3200
D) 15X₁ + 30X₂ + d₃^- = 3200
E) 15X₁ + 3-X₂ - d₃⁺ = 3200