Abernathy & Barnaby Woodworks Ltd. (A&B) makes tables and chairs from 30-inch-wide mahogany sheets that it purchases
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Question:
Each craftsman averages 37.5 productive work hours per week. Abernathy Barnaby Woodworks Ltd. policy mandates that the ratio of chairs to tables must be between 4 to 1 and 6 to 1.
Required:
a. Develop a linear programming model for A&B. The objective function should maximize its gross weekly profit (gross revenue less the variable costs of wood, cushions and other materials).
Express the feasible region by the nonnegativity constraints and a set of five functional constraints (wood and cushion availability, the minimum and maximum chair to table ratios, and the maximum weekly production time).
b. Solve for A&B's optimal weekly production schedule of tables and chairs.
What is the optimal gross weekly profit?
What is the optimal net weekly profit (gross weekly profit less the fixed labor, rent, insurance and utility costs)?
c. From the Solver reports, determine and interpret the shadow prices for:
i) linear feet of mahogany wood
ii) cushions
iii) production hours
Related Book For
Cost Accounting A Managerial Emphasis
ISBN: 978-0133392883
6th Canadian edition
Authors: Horngren, Srikant Datar, George Foster, Madhav Rajan, Christ
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