Question

lillian is a business woman of manufacturing phones. she must pay a daily fixed cost to rent the building and equipment and also pays a cost per phone produced for materials and labor. let c represent the total cost in dollars of producing p phones in a given day. the table below has select values showing the linear relationship between p and c. determine fixed cost for rent and equipment?

P: 2,4,6
C: 1200, 1400, 1600

Answer 1

Answer:

1000 dollars

Step-by-step explanation:

Given

P:  ---2 -----,4 ----,6

C: 1200, 1400, 1600

Required

Calculate the fixed cost

First, we need to determine the equation that determines the relationship between P and C

We start by selecting any two corresponding values of P and C

We have that:

$(P_1,C_1) = (2,1200)$

$(P_2,C_2) = (6,1600)$

Calculate the slope, using:

$m = \frac{C_2 - C_1}{P_2 - P_1}$

$m = \frac{1600 - 1200}{6 - 2}$

$m = \frac{400}{4}$

$m = 100$

The equation is then calculated using:

$C - C_2 = m(P - P_2)$

Where

$m = 100$ and

$(P_2,C_2) = (6,1600)$

$C - 1600 = 100(P - 6)$

$C - 1600 = 100P - 600$

Collect Like Terms

$C = 100P - 600 +1600$

$C = 100P + 1000$

From the equation above,

100P represents the amount paid for P phones produced

1000 represents the fixed cost paid

C represents the total amount paid