The yield in bushels from a grove of orange trees is given by Y = x(1000 − x), where x is the number of orange trees per acre. How many trees will maximize the yield?

Q: According to one model of bird flight, the power consumed by a pigeon flying at velocity v (in…

A: The power consumed by a pigeon at velocity (v) is given as,

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm²/min, find the decreasing…

A: To find- Radius is decreasing at the rate of

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

A:

Q: Suppose that the revenue, in dollars, from the sale of x items was R(x) = 60x−0.5x^(2), and the…

A:

Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

A:

Q: Suppose a baby food complany has determined that its total revenue R for its food is given by…

A: Total revenue R for baby food is R=-x3+63x2+1200x where R is measured in dollars and x is the number…

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A:

Q: A manufacturer of wool roving has determined that the highest price per unit that can be charged to…

A: Here, D(q)=50-0.25qC(q)=100+5q2

Q: The owner of a video store has determined that the profits P of the store are approximately given by…

A:

Q: Given the revenue and cost functions R=32x−0.5x ^2and C=8x+14​, where x is the daily​ production,…

A: I am going to solve the given problem by using the given data and get the required result.

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A:

Q: The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: Let's find rate of area increasing when W=4cm and l=10cm.

Q: A piece of cardboard measuring 12 inches by 13 inches is formed into an open-top box by cutting…

A:

Q: A company's revenue from selling z units of an item is given as R = 1700z – 3z?. If sales are…

A:

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: Average cost function is given by:

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 16 x = 180 when p = $5…

A:

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The given equation is Ct=8e-0.4t-e-0.6t. Equate the derivative of C to zero as follows:…

Q: A manufacturer produces microwaves. He estimates that by selling them for x dollars each he will be…

A: To determine the price will yield a maximum revenue.

Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

A:

Q: The marginal cost of producing the  xthxth  PC is  C′(x)=10+(x^2/60000)  and the fixed cost is…

A: We know the derivative of total cost gives us the marginal cost. The total cost is the sum of fixed…

Q: If a resistor of R ohms is connected across a battery of E volts with internal resistance r ohms,…

A:

Q: When no more than 110 units are produced, the cost of producing y units is given by C(x). C(x) =…

A: Given problem is :

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

A:

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

A: Given that: The quantity of the demand per month of a certain accessory is related to the price per…

Q: The demand and supply functions for a certain brand of breath mints are demand =−20x + 150 and…

A:

Q: · Suppose that t hours after the injection of x milligrams of adrenalin the response is R units…

A:

Q: The marginal cost of producing x tablet computer is c'(x)=140-0.04x+0.00002x^2. What is the cost of…

A: We have given The marginal cost: c'(x) = 140-0.04x+0.00002x^2.

Q: Y = 0.75X + 0.0042X2 – 0.00023x3 At what level of X, the output will be maximum?

A: Given: .

Q: A firm sales product for $80 per unit. Raw material costs are $12.50 per unit, labor costs are…

A: Use the following formulae, to obtain the solution.  Cost function, Cq=Fixed Cost+qVariable…

Q: If the total Revenue in ABC Company has given by R=-x^3+ 285x 2+ 45000x. where Ris measure in pesas…

A: topic - application of derivatives   250 units

Q: Graph the function ƒ(x) = 8 + 2x - x2 anddetermine the values of a and b that maximize the value of…

A: Consider the function  ƒx=8+2x−x2

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A:

Q: a) What is the maximum amount of the salt that will ever dissolve in the methanol? b) If x = 50 when…

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

A: Given  , Average cost per bicycle  C(x) = 0.5x2-0.5x+3.769

Q: Given a total-revenue function R(x) = 900/x -0.1x and a total-cost function C(x) = 1400 (x +2) +800,…

A: Given, Total revenue function Rx=900x2-0.1x Total cost function Cx=1400x2+213+800 We have to find…

Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks…

Q: Ketura sells backpack danglies to tourists for $15 each, so her weekly revenue is R(x) = 15x. The…

A: weekly revenue function R(x)=15xThe cost function C(x)=15+8x+0.05x2

Q: The monthly demand for insulated coffee mugs is given by q= 4400 − 200p, where p is the price of a…

A:

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A: Given, the cost equation is Where x is the number of the piece of equipment used. We have to the…

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

A: The profit function is: P(x)=1.3x-0.01x2-30

Q: The monthly total revenue from a certain product sales of x unit is given as: R(x) =12x – 0.01x²…

A:

Q: For the linear equation y = 6.6 + 8.lx If x increases by 8, what is the resulting change in y?

A: Given: Interpretation of slope: For every one unit increase in x, the predicted value of y…

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

A:

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Let C be the concentration of the antibiotic in μg/mL t hours after the antibiotic is taken. Given…

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per…

A: Consider the provided cost function.

Q: A manufacturer has determined that the cost in pesos of producing shirts is given by C(x) = 0.5x² –…

A: Given Cost Function C(x)=0.5x2-x+6200Where x represents the number of shirts produced daily.

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

A:

Q: A ball is thrown upward so that its height above the ground after time t is h(t) = 20t-5t, where h…

A: Given is : We have to find time when h(t) or height will be maximum And for height , function is :…

Q: For the cost function C(x) = 8950 + 790x + 0.5x2 and the demand function p(x) = 2370, find the…

A: