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Question : Find the approximate number of batches (to the nearest whole number) of an item : 2151733

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve the problem.

1) Find the approximate number of batches (to the nearest whole number) of an item that should be produced annually if 160,000 units are to be made. It costs $2 to store a unit for one year, and it costs $360 to set up the factory to produce each batch.

A) 17 batches

B) 23 batches

C) 21 batches

D) 15 batches

2) A bookstore has an annual demand for 85,000 copies of a best-selling book. It costs $0.50 to store one copy for one year, and it costs $45 to place an order. Find the optimum number of copies per order.

A) 3912 copies

B) 4722 copies

C) 5532 copies

D) 3521 copies

3) A certain company produces potting soil and sells it in 50 lb bags. Suppose that 200,000 bags are to be produced each year. It costs $12 per year to store a bag of potting soil, and it costs $3000 to set up the facility to produce a batch of bags. Find the number of bags per batch that should be produced.

A) 14,121

B) 9574

C) 100,000

D) 10,000

4) A local office supply store has an annual demand for 20,000 cases of photocopier paper per year. It costs $1 per year to store a case of photocopier paper, and it costs $40 to place an order. Find the optimum number of cases of photocopier paper per order.

A) 1265

B) 894

C) 400

D) 1,600,000

5) A book publisher wants to know how many times a year a print run should be scheduled. Suppose it costs $2000 to set up the printing process, and the subsequent cost per book is so low it can be ignored. Suppose further that the annual warehouse cost is $8 times the maximum number of books stored. Assuming 9000 copies of the book are needed per year how many books should be printed in each print run?

A) 1333

B) 474

C) 1500

D) 2121

6) Find the elasticity of demand E for the demand function q = 1800 - 17p.

A) E = (1800 - 17p/17p)

B) E = (17p - 1800/17p)

C) E = (17p/17p - 1800)

D) E = (17p/1800 - 17p)

7) Find the elasticity of demand E for the demand function q = 49,000 - 10p^{2}

A) E = (2p^{2}/4900 - p^{2})

B) E = (-p/49,000 - 10p^{2})

C) E = (2p^{2}/49,000 - p^{2})

D) E = (-2p^{2}/4900 - p^{2})

8) Find the elasticity of demand E for the demand function q = 17 - lnp

A) E = (-p/17p - lnp)

B) E = (-p/17 - lnp)

C) E = (1/17 - lnp)

D) E = (17 - lnp/p^{2})

9) Given the demand function q = 418 - 4p, calculate the elasticity of demand when p = 53.

A) 1.03

B) 0.97

C) 0.34

D) 2.94

10) Given the demand function q = 437 - 7p, determine the price where demand has unit elasticity.

A) p = 20.9

B) p = 31.21

C) p = 15.61

D) p = 41.8

11) The demand for ground chuck (hamburger) in a certain region of the United States is given by q = 3.92p^{-0.25}. Is the demand for ground chuck elastic or inelastic?

A) Elastic

B) The demand has unit elasticity.

C) Inelastic

D) None of these

12) The demand for boneless chicken breast, in dollars per pound, is given by q = -0.6p + 7, where p represents the price per pound and q represents the average number of pounds purchased per week per customer. Determine the price at which the demand for boneless chicken breast is unit elastic.

A) $11.67 per pound

B) $6.76 per pound

C) $5.83 per pound

D) The demand is not unit elastic at any price.

Find dy/dx by implicit differentiation.

13) x^{3} + y^{3} = 5

A) - (y^{2}/x^{2})

B) - (x^{2}/y^{2})

C) (y^{2}/x^{2})

D) (x^{2}/y^{2})

14) x^{4}/3 + y^{4}/3 = 1

A) ((x/y))^{1/3}

B) ((y/x))^{1/3}

C) - ((y/x))^{1/3}

D) - ((x/y))^{1/3}

15) x^{1/3} - y^{1/3} = 1

A) - ((y/x))^{2/3}

B) - ((x/y))^{2/3}

C) ((x/y))^{2/3}

D) ((y/x))^{2/3}

16) xy^{2} = 4

A) - (2y/x)

B) (x/2y)

C) (2x/y)

D) - (y/2x)

17) 2xy - y^{2} = 1

A) (y/y - x)

B) (x/y - x)

C) (y/x - y)

D) (x/x - y)

18) x^{3} + 3x^{2}y + y^{3} = 8

A) (x^{2} + 2xy/x^{2} + y^{2})

B) - (x^{2} + 2xy/x^{2} + y^{2})

C) - (x^{2} + 3xy/x^{2} + y^{2})

D) (x^{2} + 3xy/x^{2} + y^{2})

19) (x + y/x - y) = x^{2} + y^{2}

A) (x(x - y)^{2} - y/x + y(x - y)^{2})

B) (x(x - y)^{2} + y/x + y(x - y)^{2})

C) (x(x - y)^{2} + y/x - y(x - y)^{2})

D) (x(x - y)^{2} - y/x - y(x - y)^{2})

20) y√(x + 1) = 4

A) - (2y/x + 1)

B) - (y/2(x + 1))

C) (y/2(x + 1))

D) (2y/x + 1)