You visited us 1 times! Enjoying our articles? Unlock Full Access!

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.

Open in App

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.

Suggest Corrections

Similar questions

a = {(100)}^{1 / 100}

b = {(101)}^{1 / 101}

s i n^{- 1} x + s i n^{- 1} y + s i n^{- 1} z = \frac{3 π}{2}

x^{100} + y^{100} + z^{100} - \frac{9}{x^{101} + y^{101} + z^{101}}

101

^{100} - 1

101^{100} - 1

What is the remainder obtained when 100!+100 is divided by 101?

Join BYJU'S Learning Program