Scarlett sells designer ponchos. The revenue, R, she makes from selling a batch of n ponchos is given by the function R(n)=20 n, and the expenses, E, that she incurs from producing a batch of n ponchos is given by the function E(n)=10*sqrtn". " Let P be the total profit Scarlett makes from producing and selling a batch of n ponchos. Write a formula for P(n) in terms of R(n) and E(n). P(n)= Write a formula for P(n) in terms of n. P(n)=◻

Question

Scarlett sells designer ponchos. The revenue,  R, she makes from selling a batch of  n ponchos is given by the function  R(n)=20 n, and the expenses,  E, that she incurs from producing a batch of  n ponchos is given by the function  E(n)=10*sqrtn". " Let  P be the total profit Scarlett makes from producing and selling a batch of  n ponchos. Write a formula for  P(n) in terms of  R(n) and  E(n).  P(n)= Write a formula for  P(n) in terms of  n.  P(n)=◻

Bytelearn · Accepted Answer

Define Profit Function: Define the profit function in terms of revenue and expenses. Profit is calculated by subtracting expenses from revenue. Profit (P) = Revenue (R) - Expenses (E)Write Formula for P(n): Write the formula for P(n) using the given functions for R(n) and E(n). We are given R(n) = 20n and E(n) = 10√n. So, P(n) = R(n) - E(n)Substitute Expressions: Substitute the expressions for R(n) and E(n) into the profit formula. P(n) = 20n - 10√nSimplify Expression: Simplify the expression for P(n) if possible. The expression 20n - 10√n is already in its simplest form, so we cannot simplify it further.

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