The donaldson furniture company produces three types of rocking chairs: the children's model, the standard model, and the executive model. each chair is made in three stages: cutting, construction, and finishing. stage children's standard executive cutting 5 hr 4 hr 7 hr construction 3 hr 2 hr 5 hr finishing 2 hr 2 hr 4 hr the time needed for each stage of each chair is given in the chart. during a specific week the company has available a maximum of 152152 hours for cutting, 9292 hours for construction, and 7474 hours for finishing. determine how many of each type of chair the company should make to be operating at full capacity.

Question

Karli Wall

Mathematics

23 January, 06:37

The donaldson furniture company produces three types of rocking chairs: the children's model, the standard model, and the executive model. each chair is made in three stages: cutting, construction, and finishing. stage children's standard executive cutting 5 hr 4 hr 7 hr construction 3 hr 2 hr 5 hr finishing 2 hr 2 hr 4 hr the time needed for each stage of each chair is given in the chart. during a specific week the company has available a maximum of 152152 hours for cutting, 9292 hours for construction, and 7474 hours for finishing. determine how many of each type of chair the company should make to be operating at full capacity.

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Weston Donaldson · Answer 1

the question is 3 variable equation solution the three equation will be 5x+4y+7z=152 3x+2y+5z=92 2x+2y+4z=74 solving by elimination we get x=11, y=12, z=7