Profit-and-loss analysis. Red Tide is planning a new line of skis. For the first year, the fixed costs for setting up production are $45,000. The variable costs for producing each pair of skis are estimated at $80, and the selling price will be $450 per pair. It is projected that 3000 pairs will sell the first year. a. Find and graph C ( x ) , the total cost of producing x pairs of skis. b. Find and graph R ( x ) the total revenue from the sale of x pairs of skis Use the same axes as in part (a). c. Using the same axes as in part (a), find and graph P ( x ) , the total profit from the production and sale of x pairs of skis. d. What profit or loss will the company realize if the expected sale of 3000 pairs occurs? e. How many pairs must the company sell in order to break even?
Profit-and-loss analysis. Red Tide is planning a new line of skis. For the first year, the fixed costs for setting up production are $45,000. The variable costs for producing each pair of skis are estimated at $80, and the selling price will be $450 per pair. It is projected that 3000 pairs will sell the first year. a. Find and graph C ( x ) , the total cost of producing x pairs of skis. b. Find and graph R ( x ) the total revenue from the sale of x pairs of skis Use the same axes as in part (a). c. Using the same axes as in part (a), find and graph P ( x ) , the total profit from the production and sale of x pairs of skis. d. What profit or loss will the company realize if the expected sale of 3000 pairs occurs? e. How many pairs must the company sell in order to break even?
Profit-and-loss analysis. Red Tide is planning a new line of skis. For the first year, the fixed costs for setting up production are $45,000. The variable costs for producing each pair of skis are estimated at $80, and the selling price will be $450 per pair. It is projected that 3000 pairs will sell the first year.
a. Find and graph
C
(
x
)
, the total cost of producing x pairs of skis.
b. Find and graph
R
(
x
)
the total revenue from the sale of x pairs of skis Use the same axes as in part (a).
c. Using the same axes as in part (a), find and graph
P
(
x
)
, the total profit from the production and sale of x pairs of skis.
d. What profit or loss will the company realize if the expected sale of 3000 pairs occurs?
e. How many pairs must the company sell in order to break even?
Can u give rough map of any room u can choose cm on top
3. We'd like to know the first time when the population reaches 7000 people. First, graph the
function from part (a) on your calculator or Desmos. In the same window, graph the line y =
7000. Notice that you will need to adjust your window so that you can see values as big as
7000! Investigate the intersection of the two graphs. (This video shows you how to find the
intersection on your calculator, or in Desmos just hover the cursor over the point.) At what
value t> 0 does the line intersect with your exponential function? Round your answer to two
decimal places. (You don't need to show work for this part.) (2 points)
Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate of
0.35%. Use this information for all the problems below.
1. Find an exponential function f(t) that gives the population of Tattooine t years from now. (3
points)
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