it bait of 2395019 Sirdspip On Sau Hilbupani Nops 70 432 ponu102 An economist for a sporting goods company estimates the revenue and cost functions for the production of a new snowboard. These Functions are R(x) = -x ² + 10x and ((x) = 4x + 5, respectively, where x is the number of snowboard's produced in thousands. The average profit is defined by the function AP(x) = P(x), where pox) is the profit Function & Determine the production levels that make AP(x) > 0 P-X
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The answer in the textbook says when x>5 how do you get that ?
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- A toy manufacturer makes miniature trucks. The pricep(in dollar) and the demandx(numberof miniature trucks) are related by the equation 6000−600p=x. The total cost for the sametoy manufacturer to producexminiature trucks can be modeled byC(x) = 8x+ 450.(a) (10 points) Express the pricepin terms of the demandx. Find the revenueR(x) if themanufacturer sellsxminiature trucks in a month and find the domain of this function.(b) (10 points) Graph the cost and revenue functions on the same coordinate system for 0≤x≤6000.(c) (10 points) What is the minimum number of trucks the toy manufacturer must sell tobreak even?(d) (10 points) FindP′(300) and interpret the result.(e) (10 points) What is the exact profit from the sale of the 301stminiature truck?1) a) Solve the following inequalities:(i) 5(11 − ?) < ? + 49 (ii) 7? − 3 <10m + 23< 8 − 5m (iii) ?2 ≥ 15 − 2? b) The cost structure for iPhones are as follows, fixed cost of $25 and variable cost perunit of $2. The associated demand function isp = 20 − q .(i) Obtain an expression for the profit, π(q). (ii) Find the range of output which gives a profit of at least $31. c) Use Microsoft Word or Excel to solve the system of linear inequalities:r + 5t ≤ 57t – 2r ≤ 4 r ≥ 0(NB: clearly identify the solution set by placing a BIG enough ‘S’ to coverthat entire region).A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit function
- . Revenue The revenue from the sale of a product isgiven by the function R = 400x - x3. Selling howmany units will give positive revenue?Give atleast short definition about the statement of the problem given below.A professor in the school of business of economics carried out a research for Toyota Kenya and found the overall demand for its vehicles has an elasticity of demand of 1.3. How would you interpret this co efficient?
- A) Derive the demand function B) Analyze thefeatures of function elements of a and b PLEASE ANSWERA) The monthly demand function for particlar prodct q = f(p) = 30000 - 25p Determine the quadratic total revenue function, where Ris a function of p or R=g(p). What is the concavity of the function?What is the q intercept?What does total revenue equal at a price of $60? How many units will be demanded at this price? At what price will total revenue be maximized? B) Consder the linear equation 4x -3y = 36 What is the slope of the line represented by the given equation?What is the slope of any line perpendicular to the given line? C) Find ?′(2) and determine the values of x for which ?′(?) = 0i)?(?) = ??2?-2? ii)?(?) = (2? − 8)5The monthly demand function for a particular product is q=f(p)=2400-15p, where q is stated inunits and p is the price in dollars.i) Determine (a) the Revenue function, (b) concavity, (c) revenue at a price of $50, (d) atwhat price will the revenue be maximized, (e) graph the revenue function.ii) In general how we determine Maximum and minimum value of Quadratic function.What does concavity tell us about the function’s behaviour?
- I need help with this problem for business calculus. The revenue given is R(x)=275(0.974)^2x+1 I have to find the marginal revenue when 150 computers are sold and interpret the answer in a sentence. I know that I have to find the Marginal revenue function and I think it's -14.48918*0.974^2x+1 but I'm not 100% sure. I also need some clarification if I need to plug 150 into x to get the marginal revenue for 150 computers sold. Please help, thank you!Assume that you are an economic consultant. The firm that hired you has provided the information below. The firm is a price searcher and wants to maximize its profit (or minimize its loss). InformationPrice: $4Elasticity of demand at price of $4 is Ed=-1Quantity of output: 2000Total variable cost: 4000Average fixed cost: 1Marginal cost is constant and equal to the average variable cost: MC=ACV=2. Which of the following answers correctly describes this case? a) The firm is maximizing profits at the current price of $4.b) The firm should increase price and reduce quantity produced.c) None of the other answersd) Firm should reduce price and increase quantity produced.The variable x represents the number of HDTVs manufactured and sold in a given month. The variable p is the price charged when you sell a TV. A demand curve is given by p = 660-3x. Assume you must pay salaries totalling 8000$ in a month. Also, it costs $110 to manufacture one TV. Graph the profit function, M(x)=550x-3x²-8000, and using the Maximum program, find the maximum possible profit and fill in the details (round off x to the nearest whole number): number of sales: