A company makes oak tables, chairs, and desks. Each item requires labor time in minutes, as given in the matrix below. The amount of time available for labor each week is 20,250 min for carpentry, 12,070 min for assembly, and 17,000 min for finishing. a. If the production manager wants to use all of the available labor, how many tables, chairs, and desks should the manager schedule for production each week? b. Suppose that because of vacation schedules the amount of labor available is less for the coming week. The amount of labor available is 14,960 min for carpentry, 8,970 min for assembly, and 12,590 min for finishing. How many tables, chairs, and desks should the manager schedule for this week? c. Would it always make sense to schedule based solely on this information? (Hint: think about this scenario: if hot dogs come in packages of 6, but the buns come in packages of 8, would this create a problem?)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.9: Dividing Real Numbers
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A company makes oak tables, chairs, and desks. Each item requires labor time in minutes, as given in the matrix below. The amount of time available for labor each week is 20,250 min for carpentry, 12,070 min for assembly, and 17,000 min for finishing.

a. If the production manager wants to use all of the available labor, how many tables, chairs, and desks should the manager schedule for production each week? 

b. Suppose that because of vacation schedules the amount of labor available is less for the coming week. The amount of labor available is 14,960 min for carpentry, 8,970 min for assembly, and 12,590 min for finishing. How many tables, chairs, and desks should the manager schedule for this week? 

c. Would it always make sense to schedule based solely on this information? (Hint: think about this scenario: if hot dogs come in packages of 6, but the buns come in packages of 8, would this create a problem?) 

tables chairs desks
carpentry
120
105 125
110
assembly
finishing
40
65
80
90
125
Transcribed Image Text:tables chairs desks carpentry 120 105 125 110 assembly finishing 40 65 80 90 125
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