It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, the number sold is given by n = + b(75 – x), where a and b are positive constants. What selling price will bring a maximum profit? X-C

Q: the monthly profit from the sale of a product is given by P=24x-0.2^2-150 what level of production…

A: the monthly profit from the sale of a product is given by  P=24x-0.2x2-150P=-0.2x2+24x-150 To find…

Q: The path of a diver is modeled by f(x)= -4/9x2 + 24/9x + 9 where f(x) is the height (in feet) and x…

A: Since, we have been given the path of driver by :-f(X)=Y=-49X2+249X +9 -(i)Our aim is to find the…

Q: Find the value of x for which y = x5 – 5x3 – 20x – 2 will have a maximum point.

A:

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the june rainfall x, in…

A:

Q: If the profit function for a product is P(x) = 2100x + 10x2 – x3 - 15,000 dollars, selling how many…

A:

Q: The quadratic equation for the cost in dollars of producing automobile tires is given below where x…

A: Given:

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x - 0.2x2 . The…

A: Since you have posted a multiple subpart problem, we solve only the first three subparts for you .To…

Q: R = 840x + 207x² – x³ X = units

A:

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

A:

Q: The cost, in dollars, to produce xvats of ice cream is C(x)=x+10  When selling them to ice cream…

A: To determine the maximum profit of ice cream.

Q: The revenue of a charter bus company depends on the number of unsold seats. If the revenue R(x) is…

A: Given: The revenue of a charter bus company is,  Rx=8000+70x-x2. Here, x is the number of unsold…

Q: A one-product company finds that its profit, P, in millions of dollars, is given by the following…

A:

Q: Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars)…

A:

Q: Bill runs the company that cupcakes. If x is the number of cupckaes prodcued in hundreds, then his…

A: We will find out the required value.

Q: A fast-food restaurant has a cost of production C(x)=12x+90 and a revenue function R(x)=7x. When…

A: Given,        C(x)=12x+90 and R(x)=7x

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 number of units x that produces a maximum revenue R. R = 51x2 – 0.02x³ X = units

A:

Q: A basic cellular package costs $20 per month for 60 minutes of calling, with an additional charge of…

A: At first we have to make the equation from the condition and then solve it to get the answer.

Q: A company manufactures and sells x cellphones per week. The weekly​ price-demand and cost equations…

A: This question is related to price and cost functions, we will solve it using given information.

Q: f the profit function for a product is  P(x) = 6400x + 80x2 − x3 − 220,000  dollars, selling how…

A: The profit function is: P(x)=6400x+80x2−x3−220000

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

A:

Q: 3 The profit P (in dollars) for a company that produces antivirus and system utilities software is…

A:

Q: If the profit function for a product is P(x) = 5600x + 65x2 − x3 − 122,000 dollars, selling how…

A: The given profit function is: P(x)=-x3+65x2+5600x-122000

Q: What is the maximum value of y = 2sinx? a. 1 b. 2 C. 1/2 2 d. 2π

A: Given query is to find the maximum value of the function.

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 – 2x…

A: Given data is: R=24x23-2x To find the number of units x that produces a maximum revenue R.

Q: 5. The profit function for a business is given by the equation P(x) = -3x2 + 24x – 45, where x is…

A: Given that

Q: Find the price per unit that makes the maximum profit p if c(x)= 45+76x and p=96-2x

A: Given c(x)=45+76x and p=96-2x

Q: A retail store has determined that the daily profit for the store is related to the number of…

A: for maximize profit put p'(x)=0.

Q: An editor has been allotted $60,000 to spend on the development and promotion of a new book. It is…

A:

Q: A fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x.…

A: Given cost function is Cx=12x+95 and a revenue function is Rx=7x. The profit function is given by…

Q: The annual total revenue for a product is given by R(x) = 10,000x – 5x2 dollars, where x is the…

A:

Q: A fast-food restaurant has a cost of production C (x) When does the company start to turn a profit?…

A:

Q: An international organization must decide how to spend the $2,200,000 they have been allotted for…

A:

Q: A fast-food restaurant has a cost of production C (x) = 12x + 88 and a revenue function R(x) = 8x.…

A:

Q: If the profit function for a product is  P(x) = 3000x + 65x2 − x3 − 76,000  dollars, selling how…

A: Solve the following

Q: If the profit function for a product is P(x) = 5600x + 85x^2 − x^3 − 160,000 dollars, selling how…

A:

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x)=75x−0.2x2.   The…

A: As per bartleby guidelines we only give first three questions answers.

Q: If the profit function for a product is P(x) = 3500x + 80x² – x³ – 108,000 dollars, selling how many…

A: given,        Px=3500x+80x2-x3-108000

Q: The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts…

A: We are given the range of quadratic function y less than equal to 2. It means parabola is downward…

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

A:

Q: The profit P (in dollars) for a company that produces antivirus and system utilities software is…

A: Calculate the derivative for P i.e. P’(x).

Q: Given the function y = 3 – 3x, what value of z in the interval [-3, 3] will give the absolute…

A:

Q: A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x.…

A: Sol Cx=14x+160,R(x)=6xHence , Profit Function P(x) = R(x)-C(x)

Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

A:

Q: A fast-food restaurant has a cost of production C(x)=11x+95 and a revenue function R(x)=6x. When…

A:

Q: A firm can produce only 2,900 units per month. The monthly total cost is given C(x) = 400 + 200x…

A: first we will calculate the profit by using the formula  profit=revenue -cost here, we have been…

Q: The daily profit, P of a coffee shop is given by P=12x – 0.02x2 where x is the number of coffees…

A: We have to find the maximum profit from the given function.   According to our guidelines we can…

Q: If the profit function for a product is  P(x) = 4200x + 55x2 − x3 − 88,000  dollars, selling how…

A:

Q: If the profit function for a product is P(x) = 2800x + 85x2 − x3 − 109,000 dollars, selling how…

A:

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells cans of…

A: Given: P(x)=-0.001x2+3x-1800

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.