3.A clothing manufacturing company makes two types of jogging pants, design A and design B. the design A jogging pants sells to the retail stores for Php2500 each and the design B jogging pants for Php2100. The cost for manufacturing each design A is Php1750 and the cost of each design B is Php1200. If the company makes no more than 120 jogging pants a week and budgets no more than Php150000 per week, how many of each type should be made to maximize profit?

z(max) =  256000  Php

x₁ = 10

x₂ = 110

Step-by-step explanation:

Jogging pants design                Selling Price       Cost    

weekly production

 Design A    x₁                                     2500            1750

  Design B    x₂                                    2100            1200      

1. z ( function is : )

z = 2500*x₁  +  2100*x₂       to maximize

First constraint weekly production

 x₁    +   x₂    ≤  120

Second constraint Budget

1750*x₁  +  1200*x₂   ≤   150000      

Then the model is

z = 2500*x₁  +  2100*x₂       to maximize

Subject to

 x₁    +   x₂    ≤  120

1750*x₁  +  1200*x₂   ≤   150000  

General constraints   x₁  ≥  0           x₂   ≥ 0            both integers

First table

z           x₁           x₂        s₁       s₂      cte

1       -2500      -2100    0       0         0

0          1              1          1        0  = 120

0      1750         1200     0       1   = 150000

Using AtoZmath online solver and after 6 iterations the solution is:

z(max) =  256000  Php

x₁ = 10

x₂ = 110

i can answer this question sweetie!

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.