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COST FUNCTION FOR A LOUDSPEAKER SYSTEM Acrosonic manufactures a bookshelf loudspeaker system that may be bought fully assembled or in a kit. The costs in labor and material incurred in manufacturing a fully assembled system and a kit are S200 and S120, respectively In addition. Acrosonic has fixed costs of $20,000 month. a. Write the monthly cost function C for Acrosonic in terms of the number of fully assembled systems x and the number of kits y manufactured. b. What is the domain of C ? c. What is the total cost incurred in manufacturing 1000 fully assembled systems and 200 kits in a month?

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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
Publisher: Brooks Cole
ISBN: 9781285464640

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Section
BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
Publisher: Brooks Cole
ISBN: 9781285464640
Chapter 8.1, Problem 37E
Textbook Problem
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COST FUNCTION FOR A LOUDSPEAKER SYSTEM Acrosonic manufactures a bookshelf loudspeaker system that may be bought fully assembled or in a kit. The costs in labor and material incurred in manufacturing a fully assembled system and a kit are S200 and S120, respectively In addition. Acrosonic has fixed costs of $20,000 month.

  1. a. Write the monthly cost function C for Acrosonic in terms of the number of fully assembled systems x and the number of kits y manufactured.
  2. b. What is the domain of C?
  3. c. What is the total cost incurred in manufacturing 1000 fully assembled systems and 200 kits in a month?

a.

To determine

To find: The equation for the monthly cost function C.

Explanation of Solution

Given:

The cost of a fully assembled system is $200.

The cost of a kit is $120.

Cost fixed by Acrosonic is $20,000/month.

The number of fully assembled systems are x and the number of kits manufactured are y.

Formula used:

The cost function equation is expressed as, C(x)=FC+V(x) , where C is total production cost, FC is total fixed costs, V is variable costs and x is the number of units.

Calculation:

Here, the fixed costs are $20,000/month. The variable costs are $200 and $120 with number of units x and y respectively.

Substitute these values in the cost function mentioned above

b.

To determine

To find: The domain of C(x,y) .

c.

To determine

To find: The total cost incurred in manufacturing 1,000 fully assembled systems and 200 kits.

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Chapter 8 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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Ch. 8.1 - Let f(u, v) = (u2 + v2)euv2. Compute f(0, 1), f(1,...Ch. 8.1 - Let g(r, s, t) = res/t. 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How is...Ch. 8.6 - Suppose g1 and g2 are continuous and g1 (x) g2...Ch. 8.6 - PRINTED BY: f0988ba0c4e090b@ placeholder....Ch. 8.6 - What is the average value of f(x, y) over the...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 34-41, find the volume of the solid...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - Population Density of a Coastal Town The...Ch. 8.6 - Average Population Density of a Coastal Town Refer...Ch. 8.6 - Population Density Of A City The population...Ch. 8.6 - Average Profit The Country Workshops total weekly...Ch. 8.6 - Average Price of Land The rectangular region R...Ch. 8.6 - In Exercises 53-56, determine whether the...Ch. 8.6 - In Exercises 53-56, determine whether the...Ch. 8.6 - In Exercises 53-56, determine whether the...Ch. 8.6 - In Exercises 53-56, determine whether the...Ch. 8 - Fill in the blanks. 1. The domain of a function f...Ch. 8 - Fill in the blanks. 2. If the function f has rule...Ch. 8 - Fill in the blanks. 3. The graph of a function f...Ch. 8 - Fill in the blanks. 4. The trace of the graph...Ch. 8 - Fill in the blanks. 5. The partial derivative fx...Ch. 8 - Fill in the blanks. 6. The number fx(a, b)...Ch. 8 - Fill in the blanks. 7. A function f(x, y) has a...Ch. 8 - Fill in the blanks. 8. A critical point of f(x, y)...Ch. 8 - Fill the blanks. 9. By plotting the points...Ch. 8 - Fill in the blanks. 10. The method of Lagrange...Ch. 8 - Fill in the blanks. 11. If f(x, y) is continuous...Ch. 8 - Fill in the blanks. 12. The integral Rf(x,y)dA is...Ch. 8 - Let f(x,y)=xyx2+y2. Compute f(0, 1), f(1, 0), and...Ch. 8 - Let f(x, y) = f(x,y)=xey1+lnxy. Compute f(1, 1),...Ch. 8 - Leth (x, y, z) = xyez + xy. Compute h( 1, 1, 0),...Ch. 8 - Find the domain of the function f (u, v) = uuv.Ch. 8 - Find the domain of the function f (x, y) = xyx+y.Ch. 8 - Find the domain of the function f(x,y)=xy+y1xCh. 8 - Find The domain of the function...Ch. 8 - In Exercises 8-11, sketch the level curves of the...Ch. 8 - In Exercises 8-11, sketch the level curves of the...Ch. 8 - In Exercises 8-11, sketch the level curves of the...Ch. 8 - In Exercises 8-11, sketch the level curves of the...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 12-21, compute the first partial...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - In Exercises 22-27, compute the second-order...Ch. 8 - Let f(x, y, z) = x3 + y2z + xy2z + 3xy 4z....Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 29-34, find the critical point(s) of...Ch. 8 - In Exercises 35-38, use the method of Lagrange...Ch. 8 - In Exercises 35-38, use the method of Lagrange...Ch. 8 - Find the maximum and minimum values of the...Ch. 8 - Find the maximum and minimum values of the...Ch. 8 - In Exercises 39-42, evaluate the double integrals....Ch. 8 - In Exercises 39-42, evaluate the double integrals....Ch. 8 - In Exercises 39-42, evaluate the double integrals....Ch. 8 - In Exercises 39-42, evaluate the double integrals....Ch. 8 - In Exercises 43 and 44, find the volume of the...Ch. 8 - In Exercises 43 and 44, find the volume of the...Ch. 8 - Find the average value of The function f(x, y) =...Ch. 8 - IQs The IQ (intelligence quotient) of a person...Ch. 8 - Revenue Functions A division of Ditton Industries...Ch. 8 - Demand for CD Players In a survey concluded by...Ch. 8 - Average Daily TV-Viewing Time The following data...Ch. 8 - Female Life Expectancy at 65 The projections of...Ch. 8 - Mobile Phone Use in China The number of mobile...Ch. 8 - Maximizing Revenue Odyssey Travel Agencys monthly...Ch. 8 - Maximizing the Weigh is of Fish A pond is slacked...Ch. 8 - COBB-DOUGLAS PRODUCTION FUNCTIONS The production...Ch. 8 - COBB-DOUGLAS PRODUCTION FUNCTION Show that the...Ch. 8 - Find the domain of f(x,y)=x+y(1x)(2y)Ch. 8 - Find the first and second partial derivatives of...Ch. 8 - Find the relative extrema, if any, of f(x, y) =...Ch. 8 - Find the equation of the least-squares line for...Ch. 8 - Use the method of Lagrange multipliers to find the...Ch. 8 - Evaluate R(1xy)dA, where R is the region bounded...

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