Q4B: Find min,max points for y = 2x- x2 %3D

Q: A car-leasing firm must decide how much to charge for maintenance on the cars it leases. After…

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Q: Consider the following. 1 y = 3 – 3x2 + 8x + 1 Find the relative maxima, relative minima, and points…

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Q: suppose that the selling price P of an item to the quantity x is given by  P=-1/4x +50.   0<or= x…

A: R(x) = Price x Quantity = P(x).x

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 65 bushels of fruit. She…

A: Let's find.

Q: Given U = VXY; and Px=10 , Py-20, income=100; what is the value of MRSxy at the optimization point?…

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Q: An artist can sell 20 copies of a painting at $100 each, but for each additional copy she makes, the…

A: SOLUTION-

Q: A woman buys 5 packets of biscuits at $x each and 3 packets of biscuits at $Y each. What is the…

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Q: The monthly profit from the sale of x units of a product is P = 80x-0.042-12000 dollars. (a) What…

A: Here is the solution of the given problem. Maximum Profit Function.

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $1600 each for 90…

A: Solution:Given the cost of the trip is $1600 each for 90 passengersRefund of $10 per passenger for…

Q: A farmer finds that if she plants 55 trees per acre, each tree will yield 75 bushels of fruit. She…

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Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 60 bushels of fruit. She…

A: Given: Number of acre 80 trees    Yield per tree 60 bushels Reduced by 2

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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Q: Find the dimensions of the rectangle of maximum area having two vertices on the x-axis and 2…

A: Let the rectangle has its two vertices on x-axis and remaining two vertices on the parabola y=4-x2.…

Q: An apple orchard yields 20 bushels of apples per tree when there are 75 trees per acre. For each…

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Q: The demand for monorail service in a city in 2005 can be approximated by  q = −4,500p + 43,500…

A: Given demand function is q=-4500p+43500 We know that Revenue=Demand*Price = q*p Let revenue is R(p)=…

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 60 bushels of fruit. She…

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Q: A company found that -2p + 1000 models the number of TVs sold per month where p can be set as low as…

A: Given

Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

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Q: A landlord rents an apartment building with 250 apartments. The monthly profit, in dollars, can be…

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Q: A company's profit when it sells x thousand items is predicted to be P(x) = – 2x2 + 880x – 15000. a)…

A: function P(x)=-2x2+880x-15000 is given, Where in begining No items will be Sold.

Q: The estimated monthly profit realizable by the Cannon Precision Instruments Corporation for…

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Q: What values of a and b, with a < b, minimize the value of (x* – 2r?) dr?

A: The given integral is ∫abx4-2x2 dx. Draw the graph of the function y=x4-2x2 as shown below. .

Q: The number of newspaper copies produced from 1995 to 2002 is given by C = 50t2 − 200t + 10,000 Where…

A: The given equation is C=50t2-200t+10,000 Differentiate with respect to t, we get dCdt=100t-200 Again…

Q: A farmer finds that if she plants 70 trees per acre, each tree will yield 55 bushels of fruit. She…

A: Given no of tree and yield so find the total harvest equation then for maximum harvest equal its…

Q: Find P(x), the profit function.

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Q: A company that produces cell phones has a cost function of C = 112² - 244x + 12581, where C is the…

A: The cost function is given as: C=11x2-244x+12851   We know that, at the minimum value, the…

Q: Find the values of p where demand is elastic. x = 324 — 2р

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Q: An airline finds that if it prices a cross-country ticket at $400, it will sell 500 tickets per day.…

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Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: The given data is: Rent is $500 per month A market survey suggests that, on average, one additional…

Q: 2. Locate the critical points and determine whether maxima, minima or inflection point. 2a?y = 8x²(x…

A: From the given function: 2a2y=8x2x-2a So, we can simply write as: 2a2y=8x2x-2ay=8x2x-2a2a2 We know…

Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: Apartment complex contains 100 units  All units will be occupied if the rent is $900 per month if…

Q: A farmer finds that if she plants 95 trees per acre, each tree will yield 40 bushels of fruit. She…

A: Here we are to determine the number of trees for which the harvest is maximum. For this we have to…

Q: The demand for monorail service in the three districts of Utarek on Mars can be approximated by q =…

A: Given that: The demand for monorail service in the three districts of Utarek on Mars can be…

Q: The demand for monorail service in a city in 2005 can be approximated by q = -4,500p + 44,300 rides…

A: Revenue=pqR(p)=p(-4500p+44300)R(p)=-4500p2+44300p

Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.

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Q: What is the cost of producing the 3001st Quebee?

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Q: The value of a timber forest after t years is V(t) = 444 t - 37t (for 0 sts 50). Find when its value…

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Q: A farmer finds that if she plants 90 trees per acre, each tree will yield 30 bushels of fruit. She…

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Q: Phi Ms. Kaye of the Lakwatsera tours offers a group rate of Php 24000 per person for a week in Cebu…

A: Concept: Maximum and minimum value: To find the maximum and minimum value of a function using first…

Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 45 bushels of fruit. She…

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Q: When 300 apple trees are planted per acre, the annual yield is 1.6 bushels of apples per tree. For…

A: The number of apple trees to be planted is determined as shown below

Q: A hockey team plays in an area with a seating capacity of $15,000 spectators. With the ticket price…

A: To maximize the revenue we have to find the local maxima. There needs a small correction: average…

Q: A farmer wants to rope off an area for a new garden using 3300 yards of rope. What dimensions of a…

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Q: moer of peces of eqipment used, pasn RU) asoddne C= 40,000x + 820,000 x >0 Using how many pieces of…

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Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 35 bushels of fruit. She…

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Q: Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A.…

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Q: A baker can sell as many baguettes as he chooses for $2 per loaf. He estimates his cost in dollars…

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Q: The number of photo copies distributed is given by C = 50t² - 200t + 10000, where t is in years.…

A: Here, C=50t2-200t+10,000

Q: A farmer finds that if she plants 45 trees per acre, each tree will yield 75 bushels of fruit. She…

A: