54. Sales A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x) = -0.001x? + 3x - 1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?

Q: Revenue The revenue from the sale of a productis given by R = 250x - 5x2 - x3. If the sale of5 units…

A: R=250x-5x2-x3 The sale of 5 units gives a total revenue of $1000. Put R=1000 in R=250x-5x2-x3, we…

Q: Salmon Spawning The number of salmon swimming up- stream to spawn is approximated by S(x) = -x³ +…

A: The number of salmon swimming upstream to spawn is approximated by Sx=-x3+3x2+360x+5000.…

Q: 9) The profit for a manufacturer of collectible grandfather clocks is given by the function P(x) =…

A: Given profit function is P(x)=-2.2x2+240x-355 where x is number of clocks made and sold and P(x) is…

Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm.…

A: This is problem of optimization and application of differential calculus.

Q: G2 Salve the follow ing inqualitie 3. 24\X+3< \x-8 12x-1) メ-2 く1 メ+3

A: Absolute value properties:  1. x ≤ a ⇔ -a ≤ x ≤ a 2. x≥a ⇔ x ≤ -a and x ≥ a Given: 1. 32x - 1≥4 2. x…

Q: A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: The total cost function is given as  And the revenue function is given as Then the profit function…

Q: land bordered on one side by a highway. There are 760ft of fencing available to fence the other…

A: Length of fencing = 760ft  Length of 2 parallel sides = x

Q: Profit The monthly profit from producing and sellingx units of a product is given byP(x) = -0.3x2 +…

A: Given that, Px=-0.3x2+1230x-120000

Q: The profit function for a certain commodity is P(x) = 190x - x² - 1000. Find the level of production…

A: Given:                  Profit function :…

Q: A stuffed animal business has a total cost of production C=12x+68 and a revenue function R=36x,…

A: The break-even point is the point at which both the total cost function and the revenue function be…

Q: 20) The revenue R in dollars received from selling x radios is R(x)-x(90-x) a) Evaluate R(20) and…

A: Note: As per multiple sub-part rule, we will be providing solution for the first three subparts of…

Q: 25. Minimizing Marginal Cost Callaway Golf Company has determined that the marginal cost C of…

A: Given, C(x)=4.9x2-617.4x+19,600 now find possible minimum marginal cost…

Q: Quadratic Functions #4(in image)- If Yaseen creates 60 kits in her second month of business and…

A:

Q: The profit function for a certain commodity is  P(x) = 190x − x2 − 1000.  Find the level of…

A:

Q: 23. For the quadratic function f(x) = 2x2+4x- 6, what are the x-intercepts and axis of symmetry? a)…

A: Quadratic equations

Q: 92. Profit A wholesaler sells graphing calculators. For an order of x calculators his total cost in…

A: Given: C=50+30x-0.1x2 R=50x-0.05x2 To find: (a) P on an order of x calculators (b)Profit P on order…

Q: 28 where a is the number of units produced (in The profit function for a computer company is given…

A: For profit to be maximum, P'(x)=0

Q: Profit The weekly revenue for a product is givenby R(x) = 120x - 0.015x2, and the weekly costis C(x)…

A:

Q: The profit for a product is given by P (x)=- 14x²+ 1400x – 33,600- where x is the number of units…

A:

Q: the number produced. If the total revenue is given by R(x) = 450x x2 dollars, how many items, x,…

A: Given query is to find the maximum profit .

Q: 3. The revenue function for selling n fidget spinners is R(n)= n(8 - 0.02n) a) Determine the number…

A: (a) The revenue function R(n) is: R(n)=n(8-0.02n) Differentiate the revenue function with respect to…

Q: 8) The profit, in thousands S, of a company when selling x units is given by P(x) --025x + 5x - 18.…

A:

Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand automobile tires…

A:

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

A:

Q: 8. The profit P(in hundreds of dollars) that a company makes depends on the amount x (in hundreds of…

A: Given: The given function is P=230+20x-0.5x2. where x is the expenditure made by the company. The…

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

A:

Q: . Maximizing Profit The monthly profit from producing and selling x units of a product is given by…

A: p(x)=-0.01x2+62x-12000

Q: Saltwater taffy can be sold wholesale for $45 per thousand individual candies. The cost of producing…

A:

Q: A company's profit when it sells x thousand items is predicted to be P(x) = - 3x? + 1470x – 10000.…

A:

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: The given revenue function is R=-5x12-8x22-2x1x2+34x1+116x2, where x1 is the units of running shoes…

Q: Profit The monthly profit from producing and sellingx units of a product is given byP(x) = -0.01x2 +…

A:

Q: The daily revenue R achieved by selling x boxes of candy is figured to be R(x) = 9.5x - 0.04x2 . The…

A: Given the daily revenue R(x)=9.5x-0.04x2And the daily cost C(x)=1.25x+250

Q: f(x)=6X2-3x+2 find areas of concavity and convexity? And areas of increasing and decreasing? And the…

A: The given function is, f(x)=6x2-3x+2. Differentiate to obtain f'(x)=12x-3. Equating the first…

Q: 5. The profit function from the sale of x skateboards is given by P(x) = 30x – 0.3x² – 250 0<x< 100…

A:

Q: For a certain company, the cost for producing x items is 40x + 300 and the revenue for selling x…

A:

Q: The price for a product is given by p=128,000 -0.2x², where x is the number of units sold, so the…

A: We will put Revenue=0 to find the value of x

Q: 1. Solve a Rational Equation The effluent from a gold mine is being filtered to reduce the…

A:

Q: For a certain company, the cost for producing æ items is 50x + 300 and the revenue for selling |x…

A: Given Cost price (CP) =50x+300 Selling price (SP) = 90x-0.5x2 (a) Profit is given by P = SP-CP=…

Q: A company's profit when it sells x thousand items is predicted to be P(z) = - 2z+ 988z - 10000. a)…

A: Profit function P(x) = -2x2+988x-10000  where x is sell of item.

Q: (ii) The profit function,in dollars,for a product is given by     Π(x) = −x3 + 76x2 − 380x − 2800,…

A: Π(x) = −x3 + 76x2 − 380x − 2800 Also given that x = 10 is the break even point. Therefore x = 10 is…

Q: (b) A company that sells universal remotes has derived the profit function: P(x)=-x²+240x– 9500…

A: profit

Q: he monthly profit from the sale of x units of a product is  P = 60x − 0.02x2 − 12,000  dollars. (a)…

A:

Q: The profit of a company can be expressed as: g(x) = -2x² + 160x where x represents the %3D number of…

A: Given profit function  g(x) = -2x2+160x where x represents the number of units sold. Also given the…

Q: Pregunta 10 The average manufacturing cost per unit (in hundreds of dollars) for producing x units…

A:

Q: For a certain company, the cost for producing a items is 40x +300 and the revenue for selling z…

A:

Q: The monthly profit from the sale of x units of a product is  P = 60x − 0.04x2 − 12,000 dollars.…

A:

Q: Question #60

A: Now the maximum value of a quadratic equation

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Given problem:- Find the maximum profit and the number of units that must be produced and sold in…

Q: Q2: y=(-32+x) Q3: 4ln(2x+3)=11 Q3: find Domain and Range x2 + 2x - 15

A: Solution: The objective is to find the domain and range of the given functions