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Do Homework - Elizabeth E Hobbs layerHomework.aspx?homeworkId=442850159&question;!d Secure https://www.mathul com Student 20&flushed-true;&cld-4645226;&center; 201851 MAT153-253 12524 Elizabeth E Hobbs 9/20/17 8:30 AM Homework: Unit 2 Linear Programming (Sec Il 8.2) Score: 0 of 1 pt Bus Econ CA8.2.21 Save 20 of 23(22 complete) Hw Score: 91.3%, 21 of 23 pts Question Help Safeco company produces two types of chainsaws: The Safecut and the Safecut Deluxe. The Safecut model requires 3 hours to assemble and 1 hour to paint, and the Deluxe model requires 3 hours to assemble and hour to paint. The daily maximum number of hours available for assembly is 45, and the daily maxkimum number of hours available for painting is 12. If the profit is $23 per unit on the Safecut model and $30 per unit on the Deluxe model, how many units of each type will maximize the daily profit and what will that profit be? Select the correct choice below and fill in any answer boxes within your choice. OA. B. The maximum profit is $at all points on the line segment from the point on the left to the point on the right The maximum profit iss) by producing unit(s) of the Safect and units) of the Safecut Deluxe

Explanation / Answer

Solution;

Manufactures two types of chainsaws , the Safecut and the safecut Deluxe

Let x unit of safecut chainswas

and let y uint of safcut Delux

using given condtion the assemble time available for manufacturing both

3x +3y =< 45

painting time available for both

x + 1/2 y =< 12

we have to maximize profit from both

p = 23x + 30y

Now

Using simplex method

Maximize p = 23x + 30y subject to
3x + 3y <= 45
x +(1/2) y <= 12

Tableau #1
x y s1 s2 p   
3 3 1 0 0 45   
1 0.5 0 1 0 12   
-23 -30 0 0 1 0

Tableau #2
x y s1 s2 p   
1 1 0.333333 0 0 15
0.5 0 -0.166667 1 0 4.5   
7 0 10 0 1 450

from table

ptimal Solution: p = 450; x = 0, y = 15

Therefore form above

Option B is correct

The maximum profit is $ 450 by producing 0 units of the safecut and 15 units of the delux safecut

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