A fast-food restaurant has a cost of production C (x) = 11x + 108 and a revenue function R(x) = 5x. When does the company start to turn a profit? Enter the exact answer. If there is no solution, enter NS. If there is an infinite number of solutions, enter IS.

Q: The total-revenue and total-cost funtions for producing x clocks are R(x)=500x-0.01x2 and…

A: The total-revenue and total-cost functions for producing x clocks are The profit function is

Q: Find a solution of by fixed point method for f(x)=x^3+x-1=0 ?

A:

Q: The demand function for a certain product is  p = 121 − x2  and the supply function is  p = x2 +…

A: Solution:  The demand function for a certain product is    p = 121 − x2  and the supply function is…

Q: A manufacturer of lighting fixtures has daily production costs of  C = 800 − 50x + 0.25x2,  where C…

A: For finding minimum of any function take derivative and equate to zero.

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

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Q: researcher in physiology has decided that a good mathematical model for the number of impulses fired…

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Q: For a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue…

A: Given: Revenue cost: R(x)=-0.5 x-902+4050;   Cost function:…

Q: A company sells two different types of candles, and their profit function for a week is given by…

A: Consider the provided question, (3)

Q: A fast-food restaurant has a cost of production C (x) = 12x + 132 and a revenue function R(x) = 6x.…

A:

Q: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?

A:

Q: A company can produce a maximum of 1500 widgets in a year. If they sell x wwww m widgets during the…

A: Px=30,000,000-360,000x+750x2-13x3 Differentiating with respect to x, we get…

Q: A bus service carries 10 000 people daily between Ajax and Union Station. and the company has space…

A:

Q: Find the general solution of (D3-D2+D-1)y = 15sin2x using method of undetermined coefficient.

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Q: Use separation of variables to find a solution to: k>0

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Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: A firm can produce 500 units per week. If its total cost function is C = 400 + 1400x dollars and its…

A:

Q: Find the number of units x that produces a maximum revenue R for R=450x-0.25x^2  A.) The feasible…

A: taking first derivative of equation as 0 to get the maximum revenue

Q: Find the Critical points of the ff equation and Determine the Maximum and Minimum. - 1. y= 2x² - 12x…

A: A detailed solution is given below.

Q: The total cost of producing a type of car is given by C(x) = 21000 – 20x + 0.02x, where x is the…

A: Topic = Functions

Q: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

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Q: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

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Q: A fertilizer producer finds that it can sell its product at a price of p = 4000 – 0.8x dollars per…

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Q: For producing a certain product, if total costs can be represented by C(x) = 1600 +1500x, and the…

A: Break even point is the point where the revenue function and the cost function is equal. Find the…

Q: The annual total revenue for a wis given by R(x)=24,000x-6x^2 dollars, where x is the number of…

A: To find maximum no of units sold. Also to find maximum possible annual revenue.

Q: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

A: To find the value of x and y that leads to maximum profit, use lagrange multipliers function:…

Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: y" - y = x²ex + 5

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Q: B1(b): Solve the initial value problem f'(x) = x11 + 12x + 14 and f(0) = 2.

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Q: An appliance company determines that in order to sell x dishwashers, the price per dishwasher must…

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Q: A small generator burns two types of fuel–low sulfur and high sulfur-to produce electricity. For one…

A: Here we find the minimize cost.

Q: A fast-food restaurant has a cost of production C(x) = 12x + 126 and a revenue function R(x) = 5x.…

A: The profit function is the difference of the Revenue function and the Cost function. The company…

Q: A fertilizer producer finds that it can sell its product at a price of p = 1500 – 0.3x dollars per…

A: GIVEN: p = 1500 - 0.3x C(x) = 45000 + 375x + 0.075x2

Q: A firm can produce only 1300 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Given that, the monthly total cost is, C(x)=500+200x and the total revenue is, R(x)=450x-1100x2.…

Q: The weekly revenue for a product is given by R(x) = 132x-0.0135x, and the weekly cost is C(x) =…

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Q: For a certain company, the cost function for producing x items is C(x)=30x+250 and the revenue…

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Q: Max's total profit (in dollars) from manufacturing and selling x units of their model M loudspeaker…

A: Answer

Q: A firm can produce 100 units per week. If its total cost function is C = 600 + 1400x dollars and…

A:

Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $800 per unit. If the daily total…

A: A chemical manufacturer sells sulfuric acid in bulk at a price of $800 per unit.If the daily total…

Q: A firm can produce 300 units per week. If its total cost function is C = 300 + 1200x dollars and its…

A:

Q: A cell phone factory has a cost of production  C(x) = 150x + 10,000  and a revenue function  R(x)…

A: Given  cost of production  c(x)= 150x+10,000 Revenue function  R(x) = 200x

Q: For a certain company, the cost function for producing æ items is C (x) = 40 x + 200 and the revenue…

A:

Q: For a certain company the cost function for producing x items is C(x)=40x+200 and the revenue…

A: Since you have asked multiple part question, we will solve the first 3 part question for you as per…

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: ufacturer estimates that the cost (C) of production of x units of a certain item is C = 40x −…

A: We have to find the unit  where minimum cost arises

Q: A small generator burns 2 types of fuel: low sulfur and high sulfur to produce electricity. For one…

A: Consider the provided question, Let x be the number of gallons of low sulfur and, y be the number of…

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

A:

Q: Use Reduction of Order to find the General Solution: (D2 - 4D + 4) y = ex

A: The objective of the question is determine the general solution of the given differential equation

Q: Find the general solution of: x² = y² QY_ dr

A: We have to find general solution of given differential equation.

Q: g(x) = t² - t dt g'(4)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.