Manuel calculates the business costs and profits to produce and hiking backpacks. manuel's profit is his revenue minus his expenses. A. Write a function to present the profit Manuel makes selling n backpacks.
B. Graph the profit function. What is a reasonable domain for this function for one year if his revenue is between $4,000 and $30,000? Is the function discrete or continuous? Explain
C. How much is his profit if he sells 43 backpacks? Explain

setup cost is $5,250 assembly cost is $54/ backpack revenue is $159/ backpack

A. P = n × $105 - $5,250

B. Please find attached the required graph

The domain for the range ($30,000 to $4,000) = 25 < n < 189

C. The profit from selling 43 backpacks = -$735

Step-by-step explanation:

A. The given parameters are;

The setup cost = $5,250

The assembly cost = $54/backpack

The revenue = $159/backpack

Let n represent the number of backpack produced

Therefore, we have;

Profit, P = $ 159 × n - $54 × n - $5,250

P = n × ($ 159 - $54) - $5,250 = n × $105 - $5,250

P = n × $105 - $5,250

B. Please fins attached the graph of the profit function, created with Microsoft Excel

The domain for a range of revenue of $30,000 to $4,000 is given as follows;

The domain for the range ($30,000 to $4,000) = 25 < n < 189

C. The amount of profit from selling 43 bags = P(43) = 43 × $105 - $5,250 = -$735

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: