A manufacturing plant makes two types of inflatable boats: two-person boats and four-personboats. Each two-person boat requires 1 labor-hour from the cutting department and 2 labor-hour from the assembly department. Each four-person boat requires 2 labor-hours from thecutting department and 2 labor-hours from the assembly department. The maximum labor-hours available per month in the cutting department and the assembly department are 600 and700, respectively. The company makes a profit of $25 on each two-person boat and $40 oneach four-person boat.(A) Write the linear programming that maximizes the profit.(B) Solve part (A) graphically.

Let two person boat is denoted by x and four person boat is denoted by y Therefore Max Z=25x+40y…

Answered: A manufacturing plant makes two types…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood to make. Each table takes two boxes of screws, four 2 ✕ 4's, and four sheets of plywood. The carpenter has 80 boxes of screws, 145 2 ✕ 4's, and 170 sheets of plywood on hand. In order to maximize their profit using these materials on hand, the carpenter has determined that they must build 12 shelves and 29 tables. How many of each of the materials (boxes of screws, 2 ✕ 4's, and sheets of plywood) are leftover, when the carpenter builds 12 shelves and 29 tables? The carpenter has boxes of screws, 2 ✕ 4's, and sheets of plywood leftover.
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