Question

In: Economics

Suppose that a simple economy produces only nachos, tacos, tortilla chips and beer.  Assume all tortilla chips...

Suppose that a simple economy produces only nachos, tacos, tortilla chips and beer.  Assume all tortilla chips are used in the production of nachos.

Quantity in 2013

Price in 2013

Quantity in 2014

Price in 2014

Quantity in 2015

Price in 2015

Nachos

100

$4

120

$5

120

$4

Tacos

200

$2

250

$2

250

$3

Beer

200

$5

250

$4

250

$6

Tortilla Chips

1000

$2

1200

$2

1400

$3

a. Use the table to calculate nominal GDP, real GDP, and the GDP price index for each year. Use 2014 as the base year.

b. Did production increase more between 2013-2014  or 2014-2015? Explain

c. Did prices increase more between 2013-2014 or 2014-2015?  Explain.

Solutions

Expert Solution

We have the following information

Year

Nachos

Tacos

Beer

Tortilla Chips

Nominal GDP ($)

Price ($)

Quantity

Price ($)

Quantity

Price ($)

Quantity

Price ($)

Quantity

2013

           4.0

       100.0

           2.0

       200.0

           5.0

       200.0

           2.0

    1,000.0

                3,800.0

2014

           5.0

       120.0

         2.0

       250.0

           4.0

       250.0

           2.0

    1,200.0

                4,500.0

2015

           4.0

       120.0

           3.0

       250.0

           6.0

       250.0

           3.0

    1,400.0

                6,930.0

Consumer Price Index (CPI) = (Ʃp1q0/Ʃp0q0) × 100

In the above, p1 is the current year price; p0 is base year price; q0 is base year quantity. In the present case the base year is 2014.

Commodity

q0 (2014)

p0 (2014)

p1 (2013)

p1q0

p0q0

Nachos

       120.0

          5.0

           4.0

       480.0

       600.0

Tacos

       250.0

           2.0

           2.0

       500.0

       500.0

Beer

       250.0

           4.0

           5.0

    1,250.0

    1,000.0

Tortilla Chips

    1,200.0

           2.0

           2.0

    2,400.0

    2,400.0

Total

    4,630.0

    4,500.0

CPI for 2013 = (4630/4500) × 100 = 102.9

Commodity

q0 (2014)

p0 (2014)

p1 (2015)

p1q0

p0q0

Nachos

       120.0

           5.0

           4.0

       480.0

       600.0

Tacos

       250.0

           2.0

           3.0

       750.0

       500.0

Beer

       250.0

           4.0

           6.0

    1,500.0

    1,000.0

Tortilla Chips

    1,200.0

           2.0

           3.0

    3,600.0

    2,400.0

Total

    6,330.0

    4,500.0

CPI for 2015 = (6330/4500) × 100 = 140.7

Year

Nominal GDP ($)

CPI

Real GDP

2013

    3,800.0

       102.9

    3,692.9

2014

    4,500.0

       100.0

    4,500.0

2015

    6,930.0

       140.7

    4,925.4

So, while the price level declined during 2013-14, it increased during 2014-15

Year

Production

Percentage Increase

2013

1500

--

2014

1820

21.3%

2015

2020

11.0%

So, production has increased more during 2013-14 as compared to 2014-15


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