Determine the total profit function, P(x)

Suppose a granola bar company estimates that its monthly cost is 𝐶(𝑥)=500𝑥2+400𝑥C(x)=500x 2 +400x and its monthly revenue is 𝑅(𝑥)=−0.6𝑥3+800𝑥2−300𝑥+600R(x)=−0.6x 3 +800x 2 −300x+600, where x is in thousands of granola bars sold. The profit is the difference between the revenue and the cost.What is the profit function, P(x)?A.𝑃(𝑥)=−0.6𝑥3+1300𝑥2+100𝑥+600P(x)=−0.6x 3 +1300x 2 +100x+600B.𝑃(𝑥)=0.6𝑥3+300𝑥2−700𝑥+600P(x)=0.6x 3 +300x 2 −700x+600C.𝑃(𝑥)=−0.6𝑥3+300𝑥2−700𝑥+600P(x)=−0.6x 3 +300x 2 −700x+600D.𝑃(𝑥)=0.6𝑥3−300𝑥2+700𝑥−600P(x)=0.6x 3 −300x 2 +700x−600SUBMITarrow_backPREVIOUS

Profit is calculated as revenue minus total costs.Group of answer choicestruefalse PreviousNext

The revenue and cost functions, both in dollars, for the production and sale of x TVs are given as R(x) = 160x − 0.8x2 and C(x) = 3,240 + 15x, respectively.(a)Find the value(s) of x where the graph of R(x) has a horizontal tangent line with correct units. (Enter your answers as a comma-separated list. Round your answers to the nearest integer. If an answer does not exist, enter DNE.)x = 100   (b)Find the profit function in terms of x. (Note: Profit is revenue minus costs.)P(x) = −.8x2+145x−3240 (c)Find the value(s) of x where the graph of P(x) has a horizontal tangent line with correct units. (Enter your answers as a comma-separated list. Round your answers to the nearest integer. If an answer does not exist, enter DNE.)x = 7258​

John owns a hotdog stand. His profit is represented by with P(x) being profit and x the number of hotdogs sold. What is the most he can earn?

A manufacturer of DVD players has weekly fixed costs of $1,520 and variable costs of $12.50 per units for one particular model. The company sells this model to dealers for $19.50 each.Match the statement with the correct answer.Write the function for the weekly total costs, C(x). Write the function for the total revenue function, R(x). Write the function for the profit function, P(x). This is the cost (in dollars) of producing 150 DVD players. This is the profit (in dollars) when 150 DVD players are sold but since it is negative it means that the company loses money when 150 DVD players are sold. Each additional DVD player sold increases the profit by this many dollars. This is the revenue (in dollars) generated from the sale of 150 DVD players.