A manufacturer of upholstery can sell 2121 yards of fabric at a price of $3.11$3.11 per yard. If the price is $1.85$1.85, she can sell 3535 yards. The total cost of manufacturing x yards of fabric is C(x)=0.6x+36C(x)=0.6x+36 dollars. Step 1 of 3 : Assuming the demand function is linear, find an equation for D(x)D(x). Do not round your answer.
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A manufacturer of upholstery can sell 2121 yards of fabric at a price of $3.11$3.11 per yard. If the price is $1.85$1.85, she can sell 3535 yards. The total cost of manufacturing x yards of fabric is C(x)=0.6x+36C(x)=0.6x+36 dollars.
Assuming the demand function is linear, find an equation for D(x)D(x). Do not round your answer.
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- A bookstore owner can sell 26 magazines at a price of $1.38 per magazine. If the price is $1.10, he can sell 30 magazines. The total cost to purchase x magazines is C(x) = 0.65x+7.75 dollars. Step 1 of 3: Assuming the demand function is linear, find an equation for D(x). Do not round your answer.The variable x represents the number of HDTVs manufactured and sold in a given month. The variable p is the price charged when you sell a TV. A demand curve is given by p = 660-3x. a) Find the x-intercept of this demand curve. Say what it means. Assume you must pay salaries totalling 8000$ in a month. Also, it costs $110 to manufacture one TV. b) Write a formula for your cost function C(x) c) Write a formula for your revenue function R(x) d) The profit function is M(x) = Graph the profit function and using the Maximum program, find the maximum possible profit and fill in the details (round off x to the nearest whole number): e) number of sales: f) profit: g) selling price: h) revenue: i) cost: j) check these results fit together: k) Find the range of prices you can charge and still be in the black: The lowest price you can charge is ___________ and the highest is ___________The business venture involves the sale of decorative jewelry cases. It costs the startup $280 to produce 40 jewelry cases a week while it costs $320 to produce 60 decorative cases per week as well. the demand, x, for your product is given as a linear function of price, p, where p(x)=15−0.02x 1.Assume that the total cost C(x),is linearly related to the output x. Find an equation for C(x).Hence, determine the Fixed Cost and Variable Cost for this startup. 2.Form the Revenue and Profit Functions based on the information given. 3.Hence, determine the Break-even points to the nearest whole number and discuss the relationship between the intersection points of the graphs of R(x)and C(x)
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- Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is MC = 2x + 20, that its marginal revenue is MR = 44 − 6x, and that the cost of production of 100 units is $12,160. the optimal level of production is 3 units. a) find the profit function b) Find the profit or loss at the optimal level.The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula C(x) = 100 + 37x - 0.07x2. (a) Find the marginal cost function C'(x). C'(x) = (b) How fast is the cost going up at a production level of 100 teddy bears? When they produce 100 teddy bears, the production costs are increasing at a rate of x dollars per teddy bear In other words, the cost to produce the 101st teddy bear is approximately dollars (c) Find the average cost function C, and evaluate C(100). C(x) = C(100) = So when they produce 100 teddy bears, the average cost per teddy bear is x dollars. (d) Fill in the blanks: Since the marginal cost is less than the average cost per unit, increasing production from 100 teddy bears will cause the average cost per unit to decrease.A small company manufactures and sells fishing poles. The cost of manufacturing fishing poles can be modelled by the function c(x) = 7x + 3, where x is the number of batches (each containing 1000 poles) manufactured. Revenue is modelled by r(x) = x³ - 10x² + 20x. The company has enough workers to produce a maximum of 1200 fishing poles. a State the domain of both the cost and revenue functions. b Find the number of fishing poles that the company should manufacture in order to maximize its profits. The company introduces a new process which allows them to produce 6000 poles. c Find the number of poles that would cause the company to minimize profits (or maximizes losses). d By graphing the cost and revenue functions, find the number of poles which should be manufactured if the company is to just break even (that is, the production level at which the costs and revenues are equal). e It would not maximize the company's profits to produce as many poles as workers are capable of producing.…