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

question 53

Multiple Choice

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 producing exactly 50 Zigs expressed?

• A)X₁ + d₁⁺ = 50
• B)X₁ - d₁⁺ = 50
• C)X₁ + d₁^- = 50
• D)X₁ - d₁^- = 50
• E)X₁ + d₁^- - d₁⁺ = 50

---

Definitions:

Trade Balance

The difference in value between a country's imports and exports over a given period.

Exchange Rate

The value of one currency for the purpose of conversion to another, affecting how much of one currency can be exchanged for another.

Real Interest Rates

The yield that an investor, saver, or lender anticipates or earns, adjusted for the effects of inflation.

U.K. Bonds

Debt securities issued by the United Kingdom government, serving as a way for the government to borrow money from investors.