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##### CHAPTER 2 LINEAR PROGRAMMING: BASIC CONCEPTS

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Question;Questions 2-69 through 2-72 refer to the following;An;electronics firm produces two models of pocket calculators: the A-100 (A) and the B-200 (B). Each model uses one;circuit board, of which there are only 2,500 available for this week?s;production. In addition, the company has;allocated a maximum of 800 hours of assembly time this week for producing these;calculators. Each A-100 requires 15;minutes to produce while each B-200 requires 30 minutes to produce. The firm forecasts that it could sell a;maximum of 4,000 of the A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each and profits;for the B-200 are $4.00 each.;2-69 What is the;objective function?;a. P = 4A + 1B.;b. P = 0.25A +1B.;c. P;= 1A + 4B.;d. P = 1A + 1B.;e. P = 0.25A + 0.5B.;2-70 What is the;time constraint?;a. 1A + 1B? 800.;b. 0.25A + 0.5B? 800.;c. 0.5A + 0.25B? 800.;d. 1A + 0.5B? 800.;e. 0.25A + 1B? 800.;2-71 Which of the;following is not a feasible solution?;a. (A, B) = (0, 0).;b. (A, B) = (0, 1000).;c. (A, B) = (1800, 700).;d. (A, B) = (2500, 0).;e. (A, B);= (100, 1600).;2-72 What is the;weekly profit when producing the optimal amounts?;a. $10,000.;b. $4,600.;c. $2,500.;d. $5,200.;e. $6,400.;Questions 2-73 through 2-76;refer to the following;A local;bagel shop produces bagels (B) and;croissants (C). Each bagel requires 6 ounces of flour, 1 gram;of yeast, and 2 tablespoons of sugar. A;croissant requires 3 ounces of flour, 1 gram of yeast, and 4 tablespoons of;sugar. The company has 6,600 ounces of;flour, 1,400 grams of yeast, and 4,800 tablespoons of sugar available for;today?s baking. Bagel profits are 20;cents each and croissant profits are 30 cents each.;2-73 What is the;objective function?;a. P = 0.3B + 0.2C.;b. P =0.6B + 0.3C.;c. P = 0.2B + 0.3C.;d. P = 0.2B + 0.4C.;e. P =0.1B + 0.1C.;2-74 What is the;sugar constraint?;a. 6B + 3C? 4,800.;b. 1B + 1C? 4,800.;c. 2B + 4C;? 4,800.;d. 4B + 2C? 4,800.;e. 2B + 3C? 4,800.;2-75 Which of the;following is not a feasible solution?;a. (B, C) = (0, 0).;b. (B, C) = (0, 1100).;c. (B, C) = (800, 600).;d. (B, C) = (1100, 0).;e. (B, C);= (0, 1400).;2-76 What is the;daily profit when producing the optimal amounts?;a. $580.;b. $340.;c. $220.;d. $380.;e. $420.

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