Question

The daily cost to the manufacturing company is modeled by the function

C(x) = 7.25x + 1,500,

where

C(x)

is the total daily cost and x is the number of items manufactured.

(a)

Determine the independent and dependent variable.

x, the number of items manufactured, is the (choose one) dependent or independent variable.

C, the daily cost, is the (choose one) dependent independent variable.

(b)

Find

C(0).

(Simplify your answer completely.)

C(0) =

Explain what this result means. (choose one)

(a) The daily cost if no items are sold.

(b) The total revenue if no items are manufactured.     

(c) The number of items manufactured if the daily cost is 0.

(d) The daily cost if no items are manufactured.

(e) The domain of C(x).

(c)Find C(1,000). (Simplify your answer completely.)

C(1,000) =

Explain what this results means. (choose one)

(a)The rate of growth of the daily cost.

(b)The daily cost if 1,000 items are manufactured.     

(c)The total revenue if 1,000 items are manufactured.

(d)The range of C(x).

(e)The number of items manufactured if the daily cost is 1,000.

The daily cost if 1,000 items are sold.

Answer 1

.

here independent variable is that is the number of items manufactured.

and dependent variable is that is the total daily cost

.

take x=0

The daily cost if no items are manufactured

.

.

take x=1000

The daily cost if 1,000 items are manufactured.