A company produces two types of solar panels, A and B, that sell for $4 million and $3 million per thousand units, respectively. The cost of producing x thousand of type A and y thousand of type B is x - 2xy + 8y + 8x - 85y -6. Find the values of x and y that maximize the company's profits. [Note:(revenue) - (cost).]Profit =The company will achieve a maximum profit by sellingsolar panels of type A and sellingsolar panels of type B.

Given, Revenue function,R(x,y)=4x+3y Cost function,C(x,y)=x2-2xy+8y2+8x-85y-6 To find: Number of…

Answered: A company produces two types of solar…

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 company produces two types of hand soaps: a solid and a liquid soap. The cost of production for a solid soap is 10 cents per soap and 20 cents for the liquid soap. The company developed a model that predicts how many units x1 (of the solid soap), and x2 (of the liquid soap) they will sell per month. According to the model, the amount of units sold depends on the prices p1,p2 (in dollars) of solid and liquid soap through the equations ( see attached for equation) Set up a function to describe how the total profit (revenue - costs) depends on the unit prices p1 and p2.
A grocery store sells two brands of a product, the "house" brand and a "name" brand. The manager estimates that if she sells the "house" brand for x dollars and the "name" brand for y dollars, she will be able to sell 63 – 10x + 21y units of the "house" brand and 40 + 13x – 10y units of the "name" brand. Step 1 of 2: Find the revenue function R(x, y).
If a company A manufactures t-shirts and sells them to retailers for $9.80 each. It has fixed cost of $2625 related to the production of the t-shirts and production cost per unit is $2.30. Company B also manufactures t-shirts and sell them directly to consumers. The demand for this product is p= 15-x/125, its production cost per unit is $5.00 and its fixed cost is the same as company A. 1. Derive the total revenue function, R(x) for company B. 2. Derive the profit function, for company B. 3. How many t- shirts should company B sell to in order to break even. 4. How many t- shirts must company B sell to maximise its profit.
Please recheck and provide clear and complete step-by-step scanned handwriting or typewritten solutions and explanations thank you.
A theater finds that there is a correlation between the number of ice cream flavors offered at its food stand and the number of tickets they sell for a show, which can be modeled by the function S(n) =-4n^2 + 192n + 5 where n is the number of ice cream flavors and S(n) is the number of tickets sold. What number of ice cream flavors should be available in order to maximize the number of tickets sold?
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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