The Donaldson Furniture Company produces three types of rocking chairs the child

Question

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. 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 189 hours for cutting. 121 hours for construction, and 96 hours for finishing Determine how many of each type of chair the company should make to be operating at full capacity. The number of executive chairs the company should make is. The number of standard chairs the company should make is. The number of children's chairs the company should make is .

Explanation / Answer

Let x nos. children

y nos. standard

z nos. executive chairs

So, Total cutting hrs = 189 hrs

Total construction hrs = 121 hrs

Total finishing = 96 hrs

So, 5x +4y +7z < =189

3x +2y + 5z < = 121

2x +2y + 4z < = 96

x>=0 ; y >=0 ; z>=0

Full capacity : 5x +4y +7z =189

3x +2y + 5z = 121

2x +2y + 4z = 96x=11 , y=9 , z=14

solve the system of equations we get : x , children chairs 11;

y , standard = 9

z , executive 14 chairs

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