The J.E. Carrying Company makes two types of backpacks. The larger Huge One backpack requires 2 hours

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The J.E. Carrying Company makes two types of backpacks. The larger Huge One backpack requires 2 hours for cutting, 3 hours for sewing, and 2 hours for finishing, and sells for $32. The smaller Regular Joe backpack requires 1.5 hours for cutting, 2 hours for sewing, and 1 hour for finishing, and sells for $24.
(a) Construct a matrix T representing the time required for each of the three steps in making the backpacks.
(b) Construct a matrix S representing the sales prices for the two types of backpacks.
(c) Suppose that the J.E. Carrying Company receives an order for 27 Huge One backpacks and 56 Regular Joe backpacks. Construct a matrix A so that either AT or TA gives the total time required to construct the backpacks in this order, and either AS or SA gives the total revenue generated by this order.
(d) How much total time is needed for sewing to fill this order?
(e) What is the total revenue for this order?
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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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