Questions 36 Kian Enterprises manufactures two products, boat wax and car wax, in two departments, the Mixing Department and the Packaging Department. The Mixing Department has 800 hours per month available, and the Packaging Department has 1,200 hours per month available. Production of the two products cannot exceed 36,000 pounds. Data on the two products follow: Hours Per 100 Pounds Packaging (P) 3.6 6.0 Contribution Margin (per 100 pounds) P200 150 Mixing (M) 5.0 2.4 Boat wax (B) Car wax (C) 36. The objective function for the linear program Kian would use to determine the optimal monthly production of each wax would be Z 150B + 200C. b, 2B + 1.5C 2 36,000. 2B + 1.5C s 36,000. d. Z a. c. 200B +150C. (CMA, Adapte %3D 37. The raixing constraint for the Kian linear program would be 2.4M + 6P 2 36,000. b. 5B + 2.4C 2 800. SB + 2.4C s 800. d. a. c. SB + 2.4C 800. 22 (CMA, Adapt

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Questions 36 and 37 are based on the following information.
Kian Enterprises manufactures two products, boat wax and car wax, in two
departments, the Mixing Department and the Packaging Department. The
Mixing Department has 800 hours per month available, and the Packaging
Department has 1,200 hours per month available. Production of the two
products cannot exceed 36,000 pounds. Data on the two products follow:
Hours Per 100 Pounds
Packaging
(P)
3.6
6.0
Contribution
Mixing
(M)
Margin
(per 100 pounds)
P200
150
Boat wax (B)
Car wax (C)
5.0
2.4
36. The objective function for the linear program Kian would use to
determine the optimal monthly production of each wax would be
Z = 150B + 200C.
b, 2B + 1.5C 2 36,000.
2B + 1.5C s 36,000.
d. Z = 200B + 150C.
a.
c.
(CMA, Adapted)
37. The rixing constraint for the Kian linear program would be
2.4M +6P 2 36,000.
b. SB + 2.4C 2 800,
c. SB + 2.4Cs 800.
d. 5B + 2.4C = 800.
a.
(CMA, Adapted)
Transcribed Image Text:Questions 36 and 37 are based on the following information. Kian Enterprises manufactures two products, boat wax and car wax, in two departments, the Mixing Department and the Packaging Department. The Mixing Department has 800 hours per month available, and the Packaging Department has 1,200 hours per month available. Production of the two products cannot exceed 36,000 pounds. Data on the two products follow: Hours Per 100 Pounds Packaging (P) 3.6 6.0 Contribution Mixing (M) Margin (per 100 pounds) P200 150 Boat wax (B) Car wax (C) 5.0 2.4 36. The objective function for the linear program Kian would use to determine the optimal monthly production of each wax would be Z = 150B + 200C. b, 2B + 1.5C 2 36,000. 2B + 1.5C s 36,000. d. Z = 200B + 150C. a. c. (CMA, Adapted) 37. The rixing constraint for the Kian linear program would be 2.4M +6P 2 36,000. b. SB + 2.4C 2 800, c. SB + 2.4Cs 800. d. 5B + 2.4C = 800. a. (CMA, Adapted)
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