Cost, Revenue, and Profit A company produces a product for which the variable cost is $ 12.30 per unit and the fixed costs are $ 98 , 000 . The product sells for $ 17.98 . Let x be the number of units produced and sold. (a) The total cost for a business is the sum of the variable cost and the fixed costs. Write the total cost C as a function of the number of units produced. (b) Write the revenue R as a function of the number of units sold. (c) Write the profit P as a function of the number of units sold. ( Note: P = R − C )
Cost, Revenue, and Profit A company produces a product for which the variable cost is $ 12.30 per unit and the fixed costs are $ 98 , 000 . The product sells for $ 17.98 . Let x be the number of units produced and sold. (a) The total cost for a business is the sum of the variable cost and the fixed costs. Write the total cost C as a function of the number of units produced. (b) Write the revenue R as a function of the number of units sold. (c) Write the profit P as a function of the number of units sold. ( Note: P = R − C )
Solution Summary: The author calculates the total cost of a business as the sum of the variable cost and the fixed costs.
A company produces a product for which the variable cost is
$
12.30
per unit and the fixed costs are
$
98
,
000
.
The product sells for
$
17.98
. Let x be the number of units produced and sold.
(a) The total cost for a business is the sum of the variable cost and the fixed costs. Write the total cost C as a function of the number of units produced.
(b) Write the revenue R as a function of the number of units sold.
(c) Write the profit P as a function of the number of units sold. (Note:
P
=
R
−
C
)
Determine whether the lines
L₁ (t) = (-2,3, −1)t + (0,2,-3) and
L2 p(s) = (2, −3, 1)s + (-10, 17, -8)
intersect. If they do, find the point of intersection.
Convert the line given by the parametric equations y(t)
Enter the symmetric equations in alphabetic order.
(x(t)
= -4+6t
= 3-t
(z(t)
=
5-7t
to symmetric equations.
Find the point at which the line (t) = (4, -5,-4)+t(-2, -1,5) intersects the xy plane.
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