Norm and his buddies make shelving units, bathroom vanities, and kitchen islands in their spare time. The kitchen islands sell for $1,100, the shelving units sell for $500, and the bathroom vanities sell for $950. For a typical month, the team has 1,000 board feet of lumber, 400 hours of assembly time, and 100 hours of fabrication time available. Each kitchen island uses 40 board feet of lumber, takes 50 hours to assemble, and requires 3 hours of fabrication time. A shelving unit needs 30 board feet of lumber and requires 10 hours of assembly and 1 hour of fabrication. A bathroom vanity takes 25 board feet of lumber and 30 hours of assembly and 4 hours of fabrication. Which of these is an appropriate constraint?   a. (40 × Island) + (30 × Shelves) + (25 × Vanity) = 1,000   b. (40 × Island) + (30 × Shelves) + (25 × Vanity) ≤ 1,000   c. (50 × Island) + (10 × Shelves) + (30 × Vanity) ≥ 40   d. (40 × Island) + (30 × Shelves) + (25 × Vanity) = (50 × Island) + (10 × Shelves) + (30 × Vanity)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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  1. Norm and his buddies make shelving units, bathroom vanities, and kitchen islands in their spare time. The kitchen islands sell for $1,100, the shelving units sell for $500, and the bathroom vanities sell for $950. For a typical month, the team has 1,000 board feet of lumber, 400 hours of assembly time, and 100 hours of fabrication time available. Each kitchen island uses 40 board feet of lumber, takes 50 hours to assemble, and requires 3 hours of fabrication time. A shelving unit needs 30 board feet of lumber and requires 10 hours of assembly and 1 hour of fabrication. A bathroom vanity takes 25 board feet of lumber and 30 hours of assembly and 4 hours of fabrication.

    Which of these is an appropriate constraint?

      a.

    (40 × Island) + (30 × Shelves) + (25 × Vanity) = 1,000

      b.

    (40 × Island) + (30 × Shelves) + (25 × Vanity) ≤ 1,000

      c.

    (50 × Island) + (10 × Shelves) + (30 × Vanity) ≥ 40

      d.

    (40 × Island) + (30 × Shelves) + (25 × Vanity) = (50 × Island) + (10 × Shelves) + (30 × Vanity)

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