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1) Let C(x) = 5x + 550 and R(x) = 21x. (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 = 2) Extreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one model of helmet are $5800 per month. Materials and labor for each helmet of this model are $25, and the company sells this helmet to dealers for $45 each. (Let x represent the number of helmets sold. Let C, R, and P be measured in dollars.) (a) For this helmet, 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(200). C(200) = 

          1) Let C(x) = 5x + 550 and R(x) = 21x.
(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 =
2) Extreme Protection, Inc. manufactures helmets for skiing
and snowboarding. The fixed costs for one model of helmet are
$5800 per month. Materials and labor for each helmet of this
model are $25, and the company sells this helmet to dealers for
$45 each. (Let x represent the number of
helmets sold. Let C, R,
and P be measured in dollars.)
(a) For this helmet, 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(200).
C(200) =
Show more…

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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1) Let C(x) = 5x + 550 and R(x) = 21x. (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 = 2) Extreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one model of helmet are $5800 per month. Materials and labor for each helmet of this model are $25, and the company sells this helmet to dealers for $45 each. (Let x represent the number of helmets sold. Let C, R, and P be measured in dollars.) (a) For this helmet, 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(200). C(200) =
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Transcript

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00:01 First one is to find the profit function for the given cost and revenue.
00:04 So our profit is going to be the revenue minus the cost, which means we're going to take 21x minus the 5x plus 550, which when we, that will become 21x minus 5x minus 550 or 16x minus 550.
00:23 Now they ask some questions.
00:26 What is the slope of the profit function? and that's going to be 16x minus 550.
00:29 Now they ask them questions.
00:29 What is the slope what is the marginal profit? well, that's also going to be 16 because your marginal profit is going to be the change in the profit.
00:41 So we have the fixed cost for one model are 5 ,800.
00:47 And the first one is to, they're giving us the second situation.
00:53 They're giving us the description of the cost.
00:56 They say the fixed costs are 5800.
00:59 So let me get my c here, 5 ,800.
01:02 And the marginal costs are 25...
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