inddicates the fices sleeveless and r regular t-shirts. The unshaded region on t

Question

inddicates the fices sleeveless and r regular t-shirts. The unshaded region on the graph below coordinates of the corner points of the feasible region are also deeveless and regular t-shires that Cammpas C Clothing can peoduce indicated below the graph 1000 200 0 200 400600 800 1000 Sleeveless T-Shirts A(0, 400), B(300, 200), C(soo, 0) a If Campus Clothing makes 30%e prftn ach slevelesstshirt and 25e proft on each regular tshirt, how the company produce in order to maximize profit? many of each shirt should b. Suppose the company raises its selling price on the regular tshirts so it makes a profit of 35e on each regular t-shirt. (The profit on each sleeveless t-shirt remains 30e) How many of each type of shirt should the company now produce in order to maximize profit? Assessment Master use afte Unit 2 / Inequalities and Linear Programming

Explanation / Answer

Profit on sleeveless shirt = 30c

Profit on each regular t - shirt = 25c

so if Let say sleevless shirts are X and Regular t - shirts are Y then

Profit = 30X + 25 Y

So critical points are (500,0) , (0, 400) and (300,200)

for (500,0)

Profit = 30 * 500 = 15000

for (0,400)

Profit = 25 * 400 = 10000

for (300,200)

Profit = 30 * 300 + 25 * 200 = 14000

so the compnay should sell 500 sleeveless shirt only.

(b) Now Profit on regular shirt = 35c

Now toal proift = 30X + 35 Y

So critical points still are (500,0) , (0, 400) and (300,200)

for (500,0)

Profit = 30 * 500 = 15000

for (0,400)

Profit = 35 * 400 = 14000

for (300,200)

Profit = 30 * 300 + 35 * 200 = 16000

so now we should make 300 sleeveless shirts and 200 regular shirts.

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