Suppose a small bicycle manufacturer makes cheap bikes that sell for 180$ each. The total cost of producing x bikes (in $) is given by c(x)=6000+240x-0.8x^2, where x is up to 200 bikes.
a. Write down the revenue function.
b. Graph the costandrevenuefunctions on suitable scales, for x from 0 to 200.
c. Find the break
Pizza Restaurant has the following revenueandCostFunctions:
Revenue: R= 0+0.10Q
Cost: C=20+0.05Q, where, R is revenue, C is costand Q is slices of pizza sold in 100 pieces.
Find break-even output. Find quantity.
There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost per unit is $25. The revenue per unit is projected to be $45.
Find the break-evenpoint.
When planning the new baseball stadium for Washington DC, you are asked to find the break-evenpoint for the number of luxury skyboxes built. The boxes are for sale to corporations and wealthy individuals for $100,000 each. The fixed cost for the entire upper deck is is $1,500,000 with a variable cost of $50,000 each per box.
A business owner used a revenue function and a cost function to analyze his monthly sales. One month he found that with a sales volume of 600 items he had revenues of $54,000. Another month he had total costs of $20,800 on a sales volume of 400 items. He also finds that the break even point is 20 items.
a. Find the revenue f
Find a linear cost function in
Break-Even Analysis The cost function for flavored coffee at an upscale coffeehouse is given in dollars C(x) = 3x 1 + 160,by where x is in pounds. The coffee sells for $7 per pound.
a. Find the break-even quantity.
b. What will the revenue be at that point?