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o-na [289]
3 years ago
15

Stan has a summer beach cottage that he has owned for many years. The cottage is valued at $ 125 comma 000. This​ year, Stan spe

nds ​$250 on paint and ​$600 on​ trees, and then paints the exterior of the cottage and plants the trees himself. If he had hired a professional​ painter, it would have cost ​$1 comma 000 to paint the cottage​ (not including the cost of​ paint), and if he had hired a professional​ landscaper, it would have cost ​$450 ​(not including the cost of the​ trees) to do the planting. How much does Stan​'s improvements to the cottage add to GDP this​ year?
Business
1 answer:
anzhelika [568]3 years ago
8 0

Answer:

Case 1. $850

Case 2. $2.300

Explanation:

  • Improvement in cottage would cost (250 + 600) = 850. So, increase in GDP is 850.
  • If he actually hired the painter total cost would be (1.000 + 250 + 450 + 600) = 2.300. So, increase in GDP is 2.300
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Solution:

Given Information,

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Combustion efficiency of the boiler (n_{furnance}) = 0.7

Combustion efficiency after turn up (n_{furnance,now}) = 0.8

Operation Hour (t) = 5200h

Unit cost (c) = \frac{23 dollar}{10^{6}Btu }

Calculate heat output from the boiler  Q_{out} = Q_{in} x n_{furnance}

                                                                      = 5.5 x 10^{6} x 0.7

                                                                      = 3.85 x 10^{6} Btu/h

Calculate the heat input to the boiler after the tune-up

(Q_{in} ){new} = Q_{out} / (n_{furnance} ){new}

               = 3.85 x 10^{6} / 0.8

               = 4.8125  x 10^{6} Btu/h

Calculate the saved energy after the tune-up

(Q_{in} ){saved} = Q_{in} - (Q_{in} ){new}

                 = 5.5 x 10^{6} - 4.8125  x 10^{6} Btu/h

                 = 0.6875  x 10^{6} Btu/h

Calculate the annual energy saving ( E_{Saving} )

E_{Saving} = (Q_{in} ){saved} x t

           = ( 0.6875  x 10^{6} Btu/h ) ( 5200 hr/yr)

           = 3575 x 10^{6} Btu/h

Calculate the annual cost saving

Annual cost saving = E_{Annual saving} x Unit cost

                                = 3575 x 10^{6} Btu/h x \frac{23 dollar}{10^{6}Btu }

                                = 82225

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