A fast-food restaurant has a cost of production C (r) = 12x + 95 and a revenue function R(r) = 7x.When does the company start to turn a profit?%3DEnter the exact answer.If there is no solution, enter NS. If there is an infinite number of solutions, enter IS. Use a system of linear equations with two variables and two equations to solve.A number is 10 more than another number. Twice the sum of the two numbers is 48. Find the twonumbers.Enter the numbers in increasing order.First Number:NumberSecond Number:Number

Given cost function is Cx=12x+95 and a revenue function is Rx=7x. The profit function is given by…

Answered: A fast-food restaurant has a cost of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A carpenter's shop has weekly fixed costs of $5,000 associated with the manufacture of bookcases that each cost $200 to produce. Find the cost equation C(x) if x is the number of bookcases produced each week. Input your answer in the form C(x) = mx + b.
For a certain company, the cost for producing a items is 40x + 300 and the revenue for selling x items is 80x – 0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $50. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va , type sqrt(a).
Social networking and video-sharing sites often include rich media and display advertising placed around user- generated content. Suppose that, for a particular social networking company, the annual revenue R, in millions of dollars, from rich media advertisements for the five years from the beginning of 2015 through the end of 2019 can be approximated by the model $ R(x) = x¹ + 11x³ - 39x² + 45x, where a is the number of years from the beginning of 2015. What was the total revenue for this company in the five-year period? Round to 2 decimal places. million -

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A fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x. When does the company start to turn a profit? Enter the exact answer. If there is no solution, enter NS. If there is an infinite number of solutions, enter IS.