Suppose a company has fixed costs of $43,200 and variable cost per unit of 4 9 x + 333 dollars, where x is the total number of units produced. suppose further that the selling price of its product is 2157 − 5 9 x dollars per unit.

The question have no a clear question to resolved however is common in this kind of exercises to know

a). Profit function

b). Break points

c). Maximum value in revenue function  

Step-by-step explanation:

a). Cost per Unit =

    Variable Cost =

    Fixed Cost = 43200 $

Total cost = Fixed Cost + Variable Cost ⇒

Given selling price per Units =

Then selling price for 'x' units is Revenue Function =  

Profit function can be find by Revenue - Total Cost:

b). The break points is the total cost equal to selling cost

Using this equation to know the X value:

So, it will take 24 or 1800 to break even points

c). Substitute for a vertex formula

Now substitute 1941,3 for x in revenue function

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.

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