In Problems 41–48, form a polynomial function whose real zeros and degree are given. Answers will vary depending on the choice of a leading coefficient. 41. Zeros: -1, 1, 3; degree 3 42. Zeros: -2, 2, 3; degree 3 43. Zeros: -3, 0, 4; degree 3
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Q: Suppose the profit from the sale of x units of a product is P = 6400x − 18x2 − 400. (a) What…
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- Suppose that the profit (in hundreds of dollars) from selling x units of a product is given bySuppose a company has fixed costs of $12,300 and variable cost per unit of $0.20 x+128 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 236 − 0.8x dollars per unit. Give the functions for Revenue, Cost, and Profit: R(x) = C(x) = P(x) =An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 130 pounds, and will sell for $0.6 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 7 pounds, while the price per pound will decrease by $0.02.A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.)Answer: (rounded to the nearest tenth)B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.)Answer: dollars (rounded to the nearest dollar)
- We exclude from a function’s domain real numbers that cause division by________ .suppose a company has fixed costs of 31,200$ and variable cost per unit of 1/3x +222 where x is total number of units produced. suppose further that the selling price is 1448 - 2/3 x dollars per unit, what is the maximum revenue, break even points, and the profit functionSuppose a company has fixed costs of $46,800 and variable cost per unit of 2/5 x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2159 − 3/5 x dollars per unit. Form the profit function P(x) from the cost and revenue functions. P(x) =
- suppose that the selling price P of an item to the quantity x is given by P=-1/4x +50. 0<or= x <or =200 Whats the maximum revenue that can be obtained from this model?The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. 1. Determine the value of x in the domain 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.) 2. Thus, in which year was the median house size was increasing least rapidly? 3. Find the corresponding house size. (Round your answer to one decimal place.) 4. Find the corresponding rate of change in house size. (Round your answer to three decimal places.)the topic is Elimination of Arbitrary Constants by Isolation of Constants
- True or False: A canceling linear factor in the numerator and denominator, when set equal to zero, gives the x value of the coordinate of a hole in the graph.Suppose that a cost–benefit function is given by f (x) = 50x105 - x, 0 … x … 100, where x is the percentage of some pollutant to be removed and f (x) is the associated cost (in millions of dollars). Find the cost to remove 70%, 95%, and 100% of the pollutant.Suppose that the Best Custom Calendar Company models the coming year's revenuse and cost functions, in thousands of dollars, to be R(x)= -x^3+9x^2 and C(x)=2x^3-12x^2+30x, where x represents units of 1000 calendars and where teh model is thought to be accurate up to approximately x=5.5. Round the dollar amounts to the nearest dollar. What is the profitable zone of calendar production levels? What is the maximum profit and the level of production that will generate the maximum profit? What is the maximum loss and the level of production generating this maximum loss when the ompnay is not in the profitable zone?