The PTO of Parksville Elementary School is having a Bazaar and all of the classes are expected to contribute to this fun and exciting event. The third grade teachers, along with some dedicated parents, decide to sell cotton candy.

A little research shows you can get the machine for $50 and cleaning supplies will cost $10. The sugar and cones come in a package for $10, enough to serve 100 (you can get a refund for unopened packages). The committee thinks they could probably sell 150 of these sticky globs of goodness, so they order two packages of sugar and cones.

One of the parents asks: If we sell the cotton candy for $1.50 each, how many servings must be sold to break even? How much needs to be sold so we can buy a $320 computer package for our science lab? You have volunteered to create the equations and graph the cost analysis chart so you will be able to answer that question as well as these:

a. What are the Cost equations?
b. What is the Revenue equation?

... B. Write a formula D(p) for the monthly demand. C. Find D(3000). D. Use the accompanying graph to estimate the price at which the revenue is maximized. ...

... Marginal revenue = R(101) - R(100) =$120. ... that the weekly demand can be found by using the equation D = 600 ... d is the number of cans and p is the price per can. ...

... (The increase in revenue is called the marginal revenue for the ... b.) What happens to her sales every time she raises her price by $1? c.) Graph the equation. ...

... a.Calculate the linear function (equation) if drink ... 25,000 units for $1,250,000 and these cost $1,050,000. ... these variables: a.Find the revenue, cost and profit ...

... Solution: We'll have two equations: Using elimination, we have: ... For each exercise, a. Write the cost function, C. b. Write the revenue function, R. c ...

... the cost C (the amount of money it costs to operate a business) from the revenue R (the ... Profit can be represented algebraically by the equations: ...

... Sales Revenue $2,590 Cost of Goods Sold 1,925 Gross Profit $665 E9-7 ... Gross Group Lots per lot price lot cost Profit 1 Number Amount Formula Amount Formula ...

Problem 1 Given y = f(x) = x2 + 2x +3 a) Use the definitional formula given below to find the derivative of ... Problem 3 The revenue and cost functions for ...

... 0.06Q 2 + 0.8Q − 5 Therefore, Marginal Cost MC = dQ. ... This is a quadratic equation, where a = 0.06, b = 0.8, c ... Total Revenue = TR = P*Q = $120*39.46 = $4735.34. ...