If Q(x) = x³ – 25x + 100 is the cost per item of producing x-items. Is the cost per item increasing or decreasing when you produce 15 items?

Q: A soccer ball manufacturer is planning to expand its workforce. It estimates that the number of…

A:

Q: Company X has a fixed expenses of 1.38M monthly and each units is produced at ₱20. Company Y has a…

A: Total cost is equal to the sum of fixed expenses and variable cost. Variable cost is equal to the…

Q: suppose a company has revenue function R(x)=10x and the cost function C(x)=2x+100, where x is the…

A:

Q: This week a factory is producing 50 units of a particular commodity, and the amount being produced…

A:

Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $200 per unit. If the daily total…

A:

Q: For a certain company, the cost function for producing x items is C (x)=30x+100 and the revenue…

A: Given, The cost function is C (x)=30x+100 The revenue function is R(x)=-0.5(x-90)2+4,050 The maximum…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given:

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: If the total revenue function for a blender is R(x) = 28x − 0.01x2 where x is the number of units…

A:

Q: The total cost of producing a type of boat is given by C(x) = 17000 – 20x + 0.02x², where x is the…

A: Given:- The total cost of producing a type of boat is given by C(x) = 17000 - 20x + 0.02x2 where x…

Q: Suppose the daily cost C of manufacturing is given by C(x)=80x+4800 now hte average daily cost is…

A:

Q: Suppose we have a revenue function given by  R(x) = 3x3 - ax, Where a is a constant. What would the…

A: Average revenue=Revenuex=R(x)x

Q: The total cost of producing a type of car is given by C(x)=23000−30x+0.04x2 , where x is the…

A: Given: The total cost of producing a type of car is given by Cx=23000-30x+0.04x2

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

A:

Q: A researcher at a textbook manufacturing company finds that the revenue is given byR(x)=5x2−40x.What…

A: Calculation:

Q: A fertilizer producer finds that it can sell its product at a price of p = 3500 – 0.7.r dollars per…

A: Profit, pro(x) = xP - C(x)For maximum profit, put dpro(x)dx = 0

Q: A cell phone factory has a cost of production  C(x) = 175x + 30,000  and a revenue function  R(x)…

A:

Q: The total cost of producing a type of boat is given by C(x)=27000−10x+0.02x^2, where x is the number…

A:

Q: The revenue and cost function for a created of alarm clocks are about R(x)=520x-0.01x^2 and…

A:

Q: 4) Suppose the cost of producing x items is given by C(x) 4000 - x3 and the revenue made on the sale…

A: Consider the given question,The breakeven point occurs where profit is zero or when revenue equal to…

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: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Data: Cost Function: C(x)=180x+12000 Revenue Function: R(x)=270x At break-even point the cost…

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p = $45 -…

A: Given:   The price per unit of phone is given as P=$45-0.0125x     where x is in thousands of phones…

Q: Even though housing prices have been declining in many parts of the​ country, in​ Lara's…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 300 − 0.1x dollars per…

A: Given that, The total production cost (in dollars) for x units is: C(x) = 15000 − 125x + 0.025x2…

Q: The total cost in pesos of producing x pools of low voltage cable is given by C = 0.002 x - 05 x2 50…

A:

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

A:

Q: Solve the problem. Given the total-revenue function R(x) = 7600x, and the total-cost function C(x) =…

A: A graph is said to be continuous at a point if its graph does not break at that point. Also, LHD…

Q: A firm has decided to use more energy-efficient equipment that is expected to produce a savings rate…

A: Given savings rate is  S'x=60-4x                       (i) From eq. (i)…

Q: Q.3 (b) If the company has total costs C(x) = 15,000 + 35x + 0.1x² and total revenue function given…

A:

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

A:

Q: A firm produces a product that has the production cost function C(x) = 420x + 6090 and the revenue…

A: Find your answer below

Q: A fast food restaurant hos a cost Production C(x) = ||x+120 and arevenue function R (x) = 5x,When…

A: Consider the profit function is P(x)=R(x)-C(x) when this function is more than 0 then company makes…

Q: For a certain company, the cost function for producing x items is C(x)=50x+150 and the revenue…

A:

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p = $75 −…

A: The price per unit of a cell phone is modeled by the following expression p = 75-0.0125x Where, x is…

Q: If a company has total costs  C(x) = 35,000 + 55x + 0.1x2  and total revenues given by  R(x) =…

A: Given: C(x) = 35,000 + 55x + 0.1x2   R(x) = 625x − 0.9x2

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: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Cost function , C(x) =150x + 12,000Revenue function R(x) = 240x

Q: . Suppose the revenue, in dollars, for producing x chairs is given by r(x) = 90x and the cost to…

A:

Q: The fixed costs of a business for production of a particular item over a period are $1000 while the…

A: Solution:-

Q: A company produces chocolate Easter bunnies at a cost per unit of 0.60 + 0.005x dollars, where x is…

A: The cost function per chocolate bunnies is 0.60 + 0.005x in dollars and x be the number of item…

Q: If a company has total costs C(x) = 14,000 + 15x + 0.2^2 and total revenues given by R(x) = 285x -…

A: Given, Cx=14000+15x+0.2x2Rx=285x-0.8x2

Q: Find the profit function if cost and revenue are given by C(x) = 130 + 2.2x and R(x) = 5x -0.09x.

A: Given: C(x)=130+2.2x R(x)= 5-0.09x2

Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $600 per unit. If the daily total…

A:

Q: suppose the profit from the sale of x units of a product is P=6400x-18x^2-400. what levels of…

A:

Q: The total cost of producing a type of car is given by C(x) = 20000 - 50x + 0.2x2, where x is the…

A: We use second derivative test to find value of x where cost minimum

Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…

A: Formula used:

Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

A: Given that the cost function is Cx=40x+100 and the revenue function is Rx=-0.5x-802+3200.Also the…

Q: 1.) The cost of producing and shipping x squeaky dog toys per month is given by the function C(x) =…

A: Since t=you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Over the next 20 years, a company projects its continuous flow of revenue to be R(x) = 100e01z…

A: Consider the provided question,

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.