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Taya2010 [7]
3 years ago
11

Mark and Rasheed are at the bookstore buying new calculators for the semester. Mark is willing to pay $75 and Rasheed is willing

to pay $100 for a graphing calculator. The price for a calculator at the bookstore is $65. How much is Mark's individual consumer surplus?
Business
1 answer:
Romashka [77]3 years ago
4 0

Answer:

Mark's individual consumer surplus is $10.

Explanation:

Mark and Rasheed are at the bookstore buying new calculators for the semester.

Mark is willing to pay $75 and Rasheed is willing to pay $100 for a graphing calculator.

The price for a calculator at the bookstore is $65.

The consumer surplus is the difference between the maximum price that a consumer is willing to pay and the price he actually has to pay.

Mark's individual consumer surplus

= Price mark was willing to pay - Price he actually has to pay

= $75 - $65

= $10

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To accurately compare the rate of return on one investment with another, they should be:
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Measured over equal time periods.

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Riva crafts and sells hard cider as a part-time job. She can bottle and sell four cases in a week. She is considering hiring her
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4 0
3 years ago
Cully Furniture buys two products for resale: king beds (K) and queen beds (Q). Each king bed costs $500 and requires 100 cubic
lana66690 [7]

Answer:

1) 500K + 250Q ≤ 80,000

  100K+80Q≤ 30,000

K≥0

Q≥0

P= 400K + 200Q

2) zero king beds and 320 queen beds

or zero queen beds and 160 king beds

3) surplus variable

surplus variable is storage space

values of surplus variable is 14,000 cubic feet if zero queen beds and 160 king beds

value of surplus variable is 4,400 cubic feet if zero king beds and 320 queen beds.

surplus is the extra amount available after all resources have been utilized to theri maximum.

4) none of the resources will be completely used. There will be surplus of both

Explanation:

1) Implicit variables: K≥0 ;   Q ≥ 0

Explicit variables:

500K + 250Q ≤ 80,000-------------------------- from investment constraint

  100K+80Q≤ 30,000 ---------------------- from storage space constraint

LP:  P= 400K + 200Q

2) See the attachment for profit maximization graph

3) From graph in the attachment, it can be inferred that storage space is the surplus variable since graph of that equation lies completely outside of optimal area.

Also,

if K=160 and Q=0, the inequality of investment gives

500(160) + 250(0)= 80,000

if K=0 and Q=320, the inequality of investment gives

500(0)+ 250(320) =80,000

if K=0 and Q = 320, the inequality of space gives

100(0) + 80(320)= 25,600

surplus= 30,000- 25,600= 4,400

if K=160 and Q=0, the inequality of space gives

100(160) +250(0)= 16000

surplus= 30000-16000= 14000

4) K=0 and Q=300

investment inequality gives

500(0) + 250(300) ≤ 80,000

75,000≤ 80,000

space inequality gives

100(0) + 80(300) ≤ 30,000

24,000≤ 30,000

Both space and investment are in surplus

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