Break-even Analysis. the R from selling x units of a product is R=139.95x the Cost C of producing units is C=97X+850. In order to obtain a profit, the revenue must be greater than the cost.
A)complete the table
x 10 20 30 40 50 60
R
C
B) for what values of x will this product return the profit?
just askin', but did you complete the table?
no I didn't
A) To complete the table, we need to calculate the values of R and C for each given value of x.
For R (revenue):
R = 139.95x
Let's plug in the values of x from the table and calculate R:
x = 10
R = 139.95 * 10 = 1399.50
x = 20
R = 139.95 * 20 = 2799.00
x = 30
R = 139.95 * 30 = 4198.50
x = 40
R = 139.95 * 40 = 5598.00
x = 50
R = 139.95 * 50 = 6997.50
x = 60
R = 139.95 * 60 = 8397.00
Now let's complete the table:
x 10 20 30 40 50 60
R 1399.50 2799.00 4198.50 5598.00 6997.50 8397.00
C
For C (cost):
C = 97x + 850
Using the same approach, let's calculate the values of C for each x value:
x = 10
C = 97 * 10 + 850 = 1950
x = 20
C = 97 * 20 + 850 = 2650
x = 30
C = 97 * 30 + 850 = 3350
x = 40
C = 97 * 40 + 850 = 4050
x = 50
C = 97 * 50 + 850 = 4750
x = 60
C = 97 * 60 + 850 = 5450
Now let's complete the table:
x 10 20 30 40 50 60
R 1399.50 2799.00 4198.50 5598.00 6997.50 8397.00
C 1950 2650 3350 4050 4750 5450
B) To determine the values of x for which the product will return a profit, we need to compare the revenue (R) and the cost (C). The product will generate a profit when R is greater than C.
Now let's analyze the values in the table:
For x = 10: R (1399.50) > C (1950) -> No profit.
For x = 20: R (2799.00) > C (2650) -> Profit.
For x = 30: R (4198.50) > C (3350) -> Profit.
For x = 40: R (5598.00) > C (4050) -> Profit.
For x = 50: R (6997.50) > C (4750) -> Profit.
For x = 60: R (8397.00) > C (5450) -> Profit.
Therefore, this product will return a profit for all values of x from 20 to 60.