174 Answered Questions for the topic Business Calculus
Business Calculus
02/03/21
How many bookcases should the company produce each month in order to achieve an average cost of $150? (Round your answer to the nearest whole bookcase.)
A company produces bookcases. The average cost to produce x bookcases can be modeled by the functionc(x)= 7856+80x / x
Business Calculus
02/03/21
Find the equilibrium quantity (in hundred units)? Find the equilibrium price (in dollars)
The weekly demand and supply functions for Sportsman 5 ✕ 7 tents are given byp = −0.1x2 − x + 60 andp = 0.1x2 + 2x + 40respectively, where p is measured in dollars and x is measured in units of a...
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Business Calculus
02/03/21
find the equilibrium quantity and the equilibrium price. p = 112 − 3x2 and p = x2 + 4x + 32
In the pair of supply and demand equations below, x represents the quantity demanded in units of a thousand and p the unit price in dollars
Business Calculus
02/01/21
find the equilibrium quantity and the equilibrium price. p = 87 − 3x2 and p = x2 + 8x + 27
In the pair of supply and demand equations below, x represents the quantity demanded in units of a thousand and p the unit price in dollars
Business Calculus
02/01/21
How many bookcases should the company produce each month in order to achieve an average cost of $170? (Round your answer to the nearest whole bookcase.)
A company produces bookcases. The average cost to produce x bookcases can be modeled by the functionc(x)=7672+60x / xHow many bookcases should the company produce each month in order to achieve an...
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Business Calculus
01/29/21
How many pairs of cleats should Gymnast Clothing manufacture to make a profit?
Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars) for a run of xpairs of cleats isC(x) = 3,100 + 5x +...
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Business Calculus
01/29/21
How many copies should be sold in order to break even?
Your college newspaper, The Collegiate Investigator, has fixed production costs of $72 per edition and marginal printing and distribution costs of 40¢ per copy. The Collegiate Investigator sells...
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Business Calculus
01/28/21
Find and simplify f(a + h) − f(a) h , (h ≠ 0) for the following function. f(x) = 6x2 − 4x + 9
Business Calculus
12/05/19
Business Calculus
Find the total value TV of the given income stream and also find its future value FV (at the end of the given interval) using the given interest rate. HINT [See Examples 4 and 5.] (Round your...
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Business Calculus
10/28/19
find h'(0) if h(x)=[4x^2-5g(x)][g(x)+4x] where g(0)=5 and g'(0)=3
Business Calculus
10/28/19
find h'(0) if h(x)=[5x^2-4g(x)][g(x)+5x] where g (0) =5 and g'(0)=2
Business Calculus
09/17/19
Linear function
An employee's salary during certain years is given in the table below. Suppose s(t) is the employee's salary, where t is the number of years since 2010Year 2010 2013 2016 2019Salary in...
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Business Calculus Calculus
09/17/19
Cost and Revenue
The graph below shows the cost, C(q), nd revenue, R(q), for a company when they are producing q items. Use the graph to estimate the profit when the company produces 600 items. Show or explain your...
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Business Calculus
09/12/19
HHApCalc5 2.1.004
In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = 5t2 + 3.(a) Find the average velocity between t = 1 and t = 1 + h if each of the following is...
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Business Calculus Calculus
05/15/19
Determine the dimensions of the 800 cc can that will be cheapest to produce.
The material for the top and bottom of aluminum cans sells for .02 cents per square centimeter, and the material for the thinner cylindrical portion of aluminum cans sells for .01 cents per square...
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04/22/19
The marginal cost to make a sound system is $50 and the fixed cost is $3600.
The revenue function for the same sound system is r(x)=300x-x^2. What is the average rate of change for profit as the number of sound systems increase from 50 to 200?
Business Calculus
02/23/19
Implicit differentiation with price and demand in single equation
Price p and demand q are related by the equationln(pq+1)=100q
Find the rate of change of demand with respect to price when demand is 23:??? items/dollar.
So, a unit increase in price will cause...
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How do I find the rate of change of the revenue?
The price p (in dollars) and demand x (in bushels) for peaches are related byx=6500-0.15p^2If the current price of $90 per bushel is decreasing at the rate of $5 per week, find the rate of change...
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Business Calculus
05/23/18
An object is thrown upward at a speed of 64 feet per second by a machine from a height of 16 feet off the ground. The height h of the object after t seconds
An object is thrown upward at a speed of 64 feet per second by a machine from a height of 16 feet off the ground. The height h of the object after t seconds can be found using the equation...
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Business Calculus Derivatives
04/16/18
Find the equation of the tangent to the graph at the indicated point.
x^2-6x; a=-1
04/01/18
Math elasticity of demand word problem below.
A study of demand for air travel in Australia found that the demand (q) for discount air travel from Sydney to Melbourne depends on the airfare according to the equation q=55.2-.022p, where p is...
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Business Calculus
03/22/18
The cost of a gallon of milk was $2.92 in 2009 and $3.45 in 2013. Assuming that the exponential growth model applies, find the growth rate.
The cost of a gallon of milk was $2.92 in 2009 and $3.45 in 2013. Assuming that theexponential growth model applies, find the growth rate.
02/12/18
Price-Demand equation expressed for revenue as a function of price
This is the Price Demand equation they gave
20p+x=25
Heres what I got for the function of price. But I dont think I am right.
R(p)=p(25-20p)
It also wants an expression for revenue...
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