Profit occurs when revenue exceeds cost. If the revenue R in dollars from producing and selling x Hugo Boss polo shirts is R= 26x dollars and the cost C is C= 6x+3660 dollars, what production level produces a profit?

Q: If the profit function is  p(x)=-0.5(x-90)^2-50x+3850 what is the profit when producing 40 items?…

A: Consider the given function px=-0.5x-902-50x+3850

Q: If Q(x) = x³ – 25x + 100 is the cost per item of producing x-items. Is the cost per item increasing…

A: Differentiate Q(x) w.r.t x to find the derivative for the function Q(x). The slope for function at…

Q: The revenue achieved by selling x graphing calculators is figured to be x(49−0.5x) dollars. The cost…

A: Given, revenue achieved by selling x calculators, R(x)=x(49-0.5x). Also given that the cost of one…

Q: The total revenue​ (in hundreds of​ dollars) from the sale of x spas and y solar heaters is…

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Q: Pizzicato Pizza, Inc. finds that the cost to make x pizzas (with one topping) is C = 2x + 210 while…

A: It is given that C=2x+210 and R=12x

Q: The total revenue​ (in hundreds of​ dollars) from the sale of x spas and y solar heaters is…

A: To Determine: The total revenue​ (in hundreds of​ dollars) from the sale of x spas and y solar…

Q: The cost of producing x cartons of CDs is C(x) dollars, where C(x) = 125x + 750. The CDs sell for…

A: Given: Cost function C(x) = 125x + 750 and sell for $375 per carton

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: If P(x) = 1+ 5x – 2x represents the profit in selling z thousand Boombotix speakers, how many…

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Q: The total costs for a company are given by C(x) = 4000 + 50x + x² and the total revenues are given…

A: Concept - Break-even point is a point at which revenue becomes equal to the cost.Given cost - C(x) =…

Q: Find the sales necessary to break even  (R = C)  when the cost C of producing x units is  C =…

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Q: The total costs for a company are given by C(x) = 2000 + x 2 and the total revenues are given by…

A: Given: The cost function Cx=2000+x2 and the revenue function is Rx=90x. Find the break-even points…

Q: The length of a rectangle is 4 less than twice the width. The area of the rectangle is 70 square…

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Q: Find the profit function if cost and revenue are given by C(x) = 186 + 5.6x and R(x) = 4x - 0.02x…

A: Given :

Q: The profit function of a company is P(x) = -3000x² + 600x – 450, then the fixed cost of the company…

A: Clearly we can see that, Constant term in the expression of P(x) is (-450).

Q: The revenue from sales of x units of a product is given by R(x) = 125x-0.01x, and the cost of…

A:

Q: A jewelry maker has total revenue for her bracelets given by R= 89.75x and incurs a total cost of C=…

A: given,total revenue for braceletsR = 89.75xtotal cost , C = 23.50x+1192.5where, x = number of…

Q: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

A:

Q: A company sells at 500 pesos per item everything it produces of certain merchandise. If x items are…

A: Company sells per item at 500 pesos. and we have total cost of production and sales are given by…

Q: A jewelry maker incurs costs for a necklace according to C(X) = 37x + 1650. If the revenue function…

A: Given that  C(X) = 37x + 1650. R(x) = 87x

Q: A fast-food restaurant has a cost of production C(x)=13x+108 and a revenue function R(x)=7x. When…

A: Given the production cost: C(x)=13x+108and revenue function R(x)=7x we need to find the exact answer…

Q: The profit (P) for a company is given by the equation P=-0.02x^2 + 1.40x + 1500, where x is the…

A: Consider the given profit function: P=-0.02x2+1.40x+1500 Where  x is the number of units sold Here,…

Q: Find the sales necessary to break even (R = C) when the cost C of producing x units is C = 2.04x +…

A: For break-even R=C

Q: A firm can produce only 4400 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: we first find the profit function P(x) as  P(x)=R(x)-C(x) Now we find the derivative of P(x) and…

Q: The total costs for a company are given by C(x) = 4000 + 50x + x² %3D and the total revenues are…

A: Break-even point is a point where total cost and total revenue equals.Given - Total Cost,C(x) =…

Q: The revenue for a product is given by: R(x) = x³ – 10x² – 25x – 60 Is the revenue increasing or…

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Q: A catering company estimates that, if it has x customers in a typical week, its expenses will be…

A: Given: C(x) = 550x + 6500  R(x) = 1200x (a) How much profit will the company earn in 1 week when it…

Q: The width of a rectangular field is represented by x. The length of the rectangle is 5 more feet…

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Q: The total costs for a company are given by C(x) = 2000 + 40x + x^2 and total revenues are given by…

A:

Q: Find the sales necessary to break even (R = C) when the cost C of producing x units is C = 2.06x +…

A: Break-even point is the point at which total revenue equals total costs or expenses. At this point…

Q: A paper pulp company has discovered their cost and revenue functions for each day: C(x) = 2x? - 250x…

A:

Q: If the revenue for a company selling widgets at price x is R(x)=-10x^2+500x. Find max revenue and…

A: The revenue for a company selling widgets at price x is R(x)=-10x^2+500x.

Q: if the profit from the sale of x units of a product is p=900x-200-x2 what level of production yeilds…

A: Given the profit from the sales of x units of product is p=900x-200-x2.

Q: A company's profit when it sells x thousand items is predicted to be…

A:

Q: A manufacturer of microwave ovens believes that the revenue R, and dollars, the company receives is…

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Q: Revenue for a company is given by R=400x-(x^2)/(60) where output in 1 week is x Bluetooth…

A:

Q: A gym charges a $15 registration fee and $5 per session. If x represents the number of sessions, the…

A: Explanation and solutions is given below.....

Q: The total cost, in dollars, to produce bins of cat food is given by C(x)=15x+10582 The revenue…

A: The total cost, in dollars, to produce bins of cat food is given by C(x)=15x+10582 The revenue…

Q: Producing x footballs costs C(x) = 2.5x +500. If each football sells for $22.50, determine the…

A: Let x be the number of quantity.The selling price of the footballs is P(x) = $22.50x.And the cost…

Q: Here are recipes for two mixtures of salt and water that taste different. Mixture B is defined by…

A: It is given that Mixture A uses 4 teaspoons of salt for 5 cups of water. So if you double the cups…

Q: Given the Revenue function, R(x) =16x + 25 and Cost function of C(x) = x² - 5x + 20, Find P(5).

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Q: A small business sells custom oak moldings in 12-foot lengths. One molding type has the revenue…

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Q: A wholesaler of appliances finds that she can sell (1500 − x) flat-screen television sets each week…

A: The maximum revenue is -b/2a Where b is the coefficient of X  And a is the coefficient of x2

Q: A wholesaler of appliances finds that she can sell  (1100 − x)  flat-screen television sets each…

A:

Q: Revenue of a company is modeled by R(x)=x^2+15x-30 and Cost is modeled by C(x)=x^2+10x+55. How many…

A: Let's find.

Q: The marketing department of a company has determined that if it spends æ thousands of dollars on…

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Q: A company earns a weekly profit of P dollars by selling x items, according to the equation P(x) =…

A: We have been given the equation of the profit  P(x) = -0.5x2 + 40x - 300

Q: the profit for a product is given by P(x) = -15x^2+1500x-24,000, where x is the number of units…

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Q: The cost to produce a certain item is given by C(x)= 200+2x. You sell each item for $3 dollars. What…

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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.