Question

Suppose a company has fixed costs of $2400 and variable costs per unit of 15/16 x + 1700 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1800 − 1/16 x dollars per unit.

(a) Find the break-even points. (Enter your answers as a comma-separated list.)

(b) Find the maximum revenue. (c) Form the profit function P(x) from the cost and revenue functions.

Find the maximum profit.

(d) What price will maximize the profit? (Round your answer to the nearest cent.)

Answer #1

Suppose a company has fixed costs of $2400 and variable costs
per unit of 15 16 x + 1700 dollars, where x is the total number of
units produced. Suppose further that the selling price of its
product is 1800 − 1 16 x dollars per unit. (a) Find the break-even
points. (Enter your answers as a comma-separated list.) (b) Find
the maximum revenue. (c) Form the profit function P(x) from the
cost and revenue functions. Find the maximum profit....

Suppose a company has fixed costs of $700 and variable costs per
unit of
7
8
x + 1120 dollars,
where x is the total number of units produced. Suppose
further that the selling price of its product is
1200 −
1
8
x dollars per unit.
(a) Find the break-even points. (Enter your answers as a
comma-separated list.)
x =
10, 70
(b) Find the maximum revenue.
$
(c) Form the profit function P(x) from the cost
and revenue...

Suppose a company has fixed costs of $48,000 and variable cost
per unit of
2/5x + 444 dollars,
where x is the total number of units produced. Suppose
further that the selling price of its product is
2468 −3/5x dollars per unit.
(a) Find the break-even points. (Enter your answers as a
comma-separated list.)
x =
(b) Find the maximum revenue. (Round your answer to the nearest
cent.)
$
(c) Form the profit function P(x) from the cost
and...

Suppose a company has fixed costs of $2100 and variable costs
per unit of 7 8 x + 1200 dollars, where x is the total number of
units produced. Suppose further that the selling price of its
product is 1300 − 1 8 x dollars per unit.
(a) Find the break-even points. (Enter your answers as a
comma-separated list.) (x = 30, 70) .....( part a I got
correct)
(b) Find the maximum revenue. $
(c) Form the profit function...

Suppose a company has fixed costs of $44,800 and variable cost
per unit of 1 3 x + 222 dollars, where x is the total number of
units produced. Suppose further that the selling price of its
product is 1654 − 2 3 x dollars per unit.
Find break even
Fine max revenue

Suppose that a company has a fixed cost of $150 per day and a
variable cost of x^2 + x . Further suppose that the revenue
function is R(x) = xp and the price per unit is given by p = 57 –
x. Sketch the cost and revenue functions and locate the regions of
profit and loss. You should find the break even points before you
create your graph.

The revenue and cost functions for a particular product are
given below. The cost and revenue are given in dollars, and
x represents the number of units .
R(x) = −0.2x2 + 146x
C(x) = 66x + 7980
(a) How many items must be sold to maximize the revenue?
(b) What is the maximum revenue?
(c) Find the profit function.
P(x) =
−.2x2+212x+7980
(d) How many items must be sold to maximize the profit?
(e) What is the maximum profit?...

Sales Price: $50.00 per unit Variable Costs: $20.00 per unit
Total Fixed Costs: $90,000 What is the break-even point in sales
dollars?

Total fixed cost = $66,000
Selling price per unit = $14
Variable costs per unit = $6
Net target income (after tax) = $52,000
Tax rate = 35%.
a)Calculate break even point in units
b) calculate the sales revenue (in dollars) required to achieve
the target income
c) calculate the difference in operating income when one extra
unit is sold
d) if fixed cost increased by 20%, what is the new unit
contribution margin required to maintain the same break-even...

Given the following information:
Selling Price (per unit): $10,000
Variable Costs (per unit): $7,000
Fixed Costs: $200,000
Required
Each of these are separate situations:
What is the break-even point in total sales in
dollars?
How many units need to be sold to make a profit of
$20,000?
How many units need to be sold to make a profit of
$20,000 if fixed costs increase from $200,000 to
$250,000?
How many units would they need to sell if they wanted
to...

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