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Every Point on the Bisector of an Angle Is Equidistant from the Sides of the Angle.

The cost of p...

Question

The cost of producing $x$ tools by a company is given by
$C (x) = 1200 x + 5500$ (in $) (a) W h a t i s t h e c o s t o f$ 100 $t o o l s ? (b) W h a t i s t h e c o s t o f$ 101 $t o o l s ? (c) F i n d t h e d i f f e r e n c e b e t w e e n t h e c o s t o f$ 101 $a n d$ 100 $t i o o l s (d) F i n d t h e s l o p e o f t h e g r a p h o f$ C$?
(e) Interpret the slope.

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Solution

(a) Since the cost is given by $C (x) = 1200 x + 5500$ and we have to find the cost of $100$ tools therefore, substitute $x = 100$ in $C (x) = 1200 x + 5500$ as follows:

$C (100) = 1200 * 100 + 5500 = 125500$ $

(b) Since the cost is given by $C (x) = 1200 x + 5500$ and we have to find the cost of $101$ tools therefore, substitute $x = 101$ in $C (x) = 1200 x + 5500$ as follows:

$C (101) = 1200 * 101 + 5500 = 126700$ $

(c) $C (101) - C (100) = 1200$ $

(d) $m = 1200$ $ / (1 tool)

(e) Slope is the increase in the total cost $C$ when the number of tools produced increases by $1$ unit.

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