Question

the cost of producing laptops by a job company is given by c(x)=1300x+5500 in pesos where x is the number of produced laptops

SOLUTION PLSSS​

Answer 1

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

C(100)=1200∗100+5500=125500 $

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

Answer 2

SOLUTION

COMPLETE QUESTION

The cost of producing laptops by a JOB company is given by C(x)=1300x + 5500 (in pesos) where x is the number of produced laptops.

a) Find the inverse of the function

b) How many laptops will produce if the cost is 12,000.00 pesos?

EVALUATION

Here it is given that the cost of producing laptops by a JOB company is given by

C(x) = 1300x + 5500

a) We have to find the inverse of the function

$\displaystyle \sf{ Let \: \: {C}^{ - 1} (x) = y}$

$\displaystyle \sf{ \implies Let {C}^{} (y) = x}$

$\displaystyle \sf{ \implies 1300y + 5500 = x}$

$\displaystyle \sf{ \implies 1300y = x - 5500 }$

$\displaystyle \sf{ \implies y = \frac{x - 5500}{1300} }$

$\displaystyle \sf{ \implies {C}^{ - 1} (x) = \frac{x - 5500}{1300} }$

Hence the required inverse of the function is given by

$\displaystyle \sf{ {C}^{ - 1} (x) = \frac{x - 5500}{1300} }$

b) We have to find the value of x when the cost is 12,000.00 pesos

$\displaystyle \sf{ {C}^{} (x) = 12000}$

$\displaystyle \sf{ \implies 1300x + 5500= 12000}$

$\displaystyle \sf{ \implies 1300x = 12000 - 5500}$

$\displaystyle \sf{ \implies 1300x = 6500}$

$\displaystyle \sf{ \implies x = 5}$

5 laptops will produce if the cost is 12,000.00 pesos

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