Chapter 1.2, Problem 83E

COST OF A COMMODITY A manufacturer obtained the following data relating the cost $y$ (in dollars) to the number of units $\left(x\right)$ of a commodity produced.

Units Produced, $x$	$0$	$20$	$40$	$60$	$80$	$100$
Cost in Dollars, $y$	$200$	$208$	$222$	$230$	$242$	$250$

a. Plot the cost $\left(y\right)$ versus the quantity produced $\left(x\right)$.

b. Draw a straight line through the points $\left(0,200\right)$ and $\left(100,250\right)$.

c. Derive an equation of the straight line of part $\left(\text{b}\right)$.

d. Taking this equation to be an approximation of the relationship between the cost and the level of production, estimate the cost of producing $72$ units of the commodity.