It’s due at 11:59pm tonight. I need help solving them before I fail the homework and get a bad grade in the class. Can someone please help me out so that I can pass the homework with a good grade by 11:59 pm tonight. 2/19/18.
2.
0.28/1 points Previous Answers HarMathAp 11 1.6.005.
A linear cost function is C(x) = 6x + 550. (Assume C is measured in dollars.)
(a) What are the slope and the C-intercept?
slope
C-intercept
(b) What is the marginal cost MC?
MC =
What does the marginal cost mean?
Each additional unit produced costs this much (in dollars).
Each additional unit produced reduces the cost by this much (in dollars).
If production is increased by this many units, the cost decreases by $1.
If production is increased by this many units, the cost increases by $1.
(c) How are your answers to parts (a) and (b) related?
slope
=
marginal cost, and C-intercept = fixed costs
marginal cost
slope
C-intercept
C-intercept
slope
marginal cost
slope = fixed costs, and C-intercept = marginal cost
(d) What is the cost of producing one more item if 50 are currently being produced?
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C-intercept
C-intercept
slope
==
marginal cost
Oslope = fixed costs, and C-intercept = marginal cost
(d) What is the cost of producing one more item if 50 are currently being produced?
$
What is the cost of producing one more item if 100 are currently being produced?
$
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3.
-/1 points HarMathAp 11 1.6.008.
A linear revenue function is R = 38.94x.
(a) What is the slope m?
m =
(b) What is the marginal revenue MR?
MR =
What does the marginal revenue mean?
If the number of units sold is increased by this amount, the revenue decreases by $1.
If the number of units sold is increased by this amount, the revenue increases by $1.
Each additional unit sold yields this many dollars in revenue.
Each additional unit sold decreases the revenue by this many dollars.
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Each additional unit sold decreases the revenue by this many dollars.
(C) What is the revenue received from selling one more item if 49 are currently being sold?
$
What is the revenue received from selling one more item if 91 are being sold?
$
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4.
-11 points HarMathAp 11 1.6.009.
Let C(x) = 7x + 650 and R(x) = 26x.
(a) Write the profit function P(x).
P(x) =
(b) What is the slope m of the profit function?
m =
(c) What is the marginal profit MP?
MP =
(d) Interpret the marginal profit.
Each additional unit sold increases the profit by this much.
This is the smallest number of units that can be sold in order to make a profit.
The profit is maximized when this many units are sold.
Each additional unit sold decreases the profit by this much.
6
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5.
-1 points HarMathAp 11 1.6.011.MI.
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A company charting its profits notices that the relationship between the number of units sold, x, and the profit, P, is linear. If 190 units sold results in $760 profit and 240 units
sold results in $3460 profit, write the profit function for this company.
PE
Find the marginal profit.
$
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6.
-11 points HarMathAp 11 1.6.014.
My Notes
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A manufacturer of DVD players has monthly fixed costs of $9600 and variable costs of $50 per unit for one particular model. The company sells this model to dealers for $90
each.
(a) For this model DVD player, write the function for monthly total costs C(x).
C(x) =
(b) Write the function for total revenue R(x).
R(x) =
(c) Write the function for profit P(x).
P(x) =
(d) Find C(220).
C(220)
6
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Interpret C(220).
This is the cost (in dollars) of producing 220 DVD players.
For each $1 increase in cost this many more DVD players can be produced.
When this many DVD players are produced the cost is $220.
For every additional DVD player produced the cost increases by this much.
Find R(220)
R(220) =
Interpret R(220).
When this many DVD players are produced the revenue generated is $220.
For every additional DVD player produced the revenue generated increases by this much.
This is the revenue (in dollars) generated from the sale of 220 DVD players.
For each $1 increase in revenue this many more DVD players can be produced.
Find P(220).
P(220)
=
Interpret P(220).
This is the profit (in dollars) when 220 DVD players are sold, and since it is positive it means that the company makes money when 220 DVD players are sold.
For each additional DVD player sold the profit (in dollars) increases by this much, but since it is negative it means that the company needs to decrease the
number of DVD players sold in order to make a profit.
This is the profit (in dollars) when 220 DVD players are sold, but since it is negative it means that the company loses money when 220 DVD players are sold.
For each additional DVD player sold the profit (in dollars) increases by this much, but since it is positive it means that the company is producing too many DVD
players.
(e) Find C(350).
C(350) =
6
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