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alexgriva [62]
3 years ago
11

In the fictional country of Dirian the economics statistics department has been busy calculating the price index for a basket of

goods from 2013 to 2017. January 2013 is the standardized price index, at 100, for a basket of consumer goods in the country. The price index increased in 2014 to 104.7, in 2015 to 109.3, in 2016 to 113.1, and in 2017 it increased to 119.2. You have been called to the country to help establish the rate of inflation for those years. What are the inflation rates in Dirian for 2014, 2015, 2016, and 2017
Business
1 answer:
inysia [295]3 years ago
4 0

Answer:

Inflation refers to the general rise in price levels of goods and services in an economy.

Inflation = \frac{CPI in current year - CPI in previous year}{CPI in current year} *100

2014 Inflation;

Inflation = \frac{104.7 - 100}{100} *100\\= 0.047

= 4.7%

2015

Inflation = \frac{109.3 - 104.7}{104.7} *100\\\\= 0.0439

= 4.39%

2016

Inflation = \frac{113.1 - 109.3}{109.3} *100\\\\= 0.0348

= 3.48%

2017

Inflation = \frac{119.2 - 113.1}{113.1} *100\\\\= 0.0539

= 5.39%

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The number of cartons of calendars that Fast Spirit Calendars must sell each month to breakeven is 109500.

<h3>Breakeven</h3>

1. Number of cartons

Number of cartons=fixed expenses/contribution margin per carton

Number of cartons=1095000/(16.5-6.5)

Number of cartons=109500

2.  Target sales in dollars

Contribution margin ratio=contribution margin per carton/sales price per carton =

Contribution margin ratio=(16.5-6.5)/16.5

Contribution margin ratio=.61

Target sales in dollars=(fixed expenses + target operating income)/ contribution margin ratio

Target sales in dollars=(1095000+312000)/.61

Target sales in dollars=2,306,557

3. Contribution margin income statement

Sales revenue 7,507,500

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Cost of goods sold 5,105,100

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Operating expenses 2,402,400

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Contribution margin  4,550,000

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Fixed expenses 1095000

Operating income 3,455,000

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4. Margin of safety​ (in dollars)

Sales revenue - sales revenue at breakeven = margin of safety ( in dollars) - ( sales price per carton x breakeven cartons) = margin safety in dollars

Margin safety in dollars=7,507,500-(16.5x109500)

Margin safety in dollars=7,507,500-1,806,750

Margin safety in dollars=5,700,750

Operating leverage factor =Contribution margin/operating income

Operating leverage factor =4,550,000/3,455,000

Operating leverage factor =1.316

Operating leverage factor =1.32 (Approximately)

5.  Operating income

Operating income increase=Sales volume x operating leverage factor

Operating income increase=11%x1.32

Operating income increase=.1452

New volume=Original volume + increase in volume

{[455,000+45,500 x(16.5-6.5)]-1095000}-3,455,000

=[500,500x10)-1095000]-3,455,000

=(5,005,000-1095000)-3,455,000

=3,910,000-3,455,000

=455,000

455,000/3,455,000

=0.132

Inconclusion the number of cartons of calendars that Fast Spirit Calendars must sell each month to breakeven is 109500.

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