174 Answered Questions for the topic Business Calculus

Business Calculus

03/24/21

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Minimizing Construction Costs The management of the UNICO department store has decided to enclose a 911 ft2area outside the building for displaying potted plants and flowers. One side will be... more
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Business Calculus

03/22/21

Determine the production level that will result in the smallest average production cost.
Minimizing Average Cost The total monthly cost (in dollars) incurred by a certain guitar manufacturer in manufacturing x units of its Professional Series guitars is given by the functionC(x)... more
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Business Calculus

03/22/21

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Maximizing Profits The weekly demand for DVDs manufactured by a certain media corporation is given byp = −0.0003x2 + 75where p denotes the unit price in dollars and x denotes the quantity demanded.... more
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Business Calculus

03/22/21

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Profit of a Vineyard Phillip, the proprietor of a vineyard, estimates that the first 9500 bottles of wine produced this season will fetch a profit of $7 per bottle. However, the profit from each... more
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Business Calculus

03/18/21

Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)
g(x) = x2 + 2x2/3 on [−7, 8]
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Business Calculus

03/17/21

What is the largest possible profit the producers can make in 1 day?
Maximizing Profits The management of the producers of a famous hot sauce estimate that their profit (in dollars) from the daily production and sale of x cases (each case consisting of 24 bottles)... more
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Business Calculus

03/17/21

Find the level of production (in units) that will minimize the average cost. (Round your answer to the nearest whole number.)
Minimizing Average Cost Suppose the total cost function for manufacturing a certain product  C(x) is given by the function below, where C(x) is measured in dollars and x represents the number of... more
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Business Calculus

03/15/21

Consider the following function. g(x) = x2 − 2x − 4 on [0, 9]. The questions are in the description
Find the derivative of the function.g '(x) =    Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)x =    Find the... more
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Business Calculus Calculus

03/12/21

Find the production level that will yield a maximum profit for the manufacturer. Hint: Use the quadratic formula. (Round your answer to the nearest integer.)
Maximizing Profits The weekly demand for DVDs manufactured by a certain media corporation is given byp = −0.0006x2 + 55where p denotes the unit price in dollars and x denotes the quantity demanded.... more
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Business Calculus Calculus Precalculus

03/11/21

Find the production level that will yield a maximum profit for the manufacturer. Hint: Use the quadratic formula. (Round your answer to the nearest integer.)
Maximizing Profits The weekly demand for DVDs manufactured by a certain media corporation is given byp = −0.0006x2 + 55where p denotes the unit price in dollars and x denotes the quantity demanded.... more
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Business Calculus Calculus

03/08/21

Elasticity of demand
Find the elasticity of demand for the demand function x=500-2p^2 when the price per unit p is $10. The elasticity of demand is:
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Business Calculus Calculus Business Calc

03/08/21

Find the slope of the tangent line to the graph of f(x)=(-x^2+4)^3 at x=1
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Business Calculus Calculus

03/03/21

E(38) =  Description includes the rest of the question
For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inelastic at the indicated price. (Round your answer to three decimal... more
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Business Calculus

03/03/21

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Marginal Cost The total weekly cost (in dollars) incurred by Lincoln Records in pressing x compact discs is given by the following function.C(x) = 2000 + 2x − 0.0001x2    (0 ≤ x ≤ 6000)(a)What is... more
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Business Calculus

02/19/21

Find an equation of the tangent line to the graph of the following function f at the specified point.
f(x) = (x3 + 5)(3x2 − 4x + 2); (1, 6)
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Business Calculus

02/19/21

Find an equation of the tangent line to the graph of the following function f at the specified point.
f(x)=10x/x^2-6; (4,4) (This is the equation)
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Business Calculus

02/19/21

Find an equation of the tangent line to the graph of the following function f at the specified point.
f(x)=(x^3+5)(3x^2-4x+2); (1,6)
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Business Calculus

02/18/21

larger x-value (x, y). smaller x-value (x, y)
Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not exist, enter DNE.). f(x)=x/x^2+9
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Business Calculus

02/18/21

What is the unit price (in dollars) at that level of demand?
What is the rate of change of the unit price (in dollars per 1,000 lamps) when the quantity demanded is 4,000 units (x = 4)?$ 1.  per 1,000 lamps
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Business Calculus

02/17/21

How fast (in billions of dollars per year) were sales increasing at the beginning of 1998?
The annual sales of digital signal processors (DSPs) in billions of dollars is approximated byS(t) = 0.14t2 + 0.68t + 3.1    (0 ≤ t ≤ 6)where t is measured in years, with t = 0 corresponding to the... more
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Business Calculus

02/17/21

What were the sales (in billions of dollars) at the beginning of 1998?
The annual sales of digital signal processors (DSPs) in billions of dollars is approximated byS(t) = 0.14t2 + 0.68t + 3.1    (0 ≤ t ≤ 6)where t is measured in years, with t = 0 corresponding to the... more
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Business Calculus

02/17/21

Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 4, f '(1) = -3, g(1) = -4, and g'(1) = 5. Find h'(1). h(x)=f(x)g(x)/f(x)-g(x)
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Business Calculus

02/17/21

How fast (in billions of dollars per year) were sales increasing at the beginning of 1998?
The annual sales of digital signal processors (DSPs) in billions of dollars is approximated byS(t) = 0.14t2 + 0.68t + 3.1    (0 ≤ t ≤ 6)where t is measured in years, with t = 0 corresponding to the... more
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Business Calculus

02/17/21

What is the unit price (in dollars) at that level of demand?
The demand function for the Luminar desk lamp is given byp = f(x) = −0.1x2 − 0.2x + 24where x is the quantity demanded in thousands and p is the unit price in dollars.(a)Find f '(x).f '(x)... more
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Business Calculus

02/17/21

Let f(x) = x3 − 2x2. Find the points on the graph of f where the tangent line is horizontal. (Enter your answers as a comma-separated list.)
The larger x value (x,y)
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