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From your answers in 1(c), is the demand for the commodity elastic or inelastic? Explain your answer. Figure 2 below represents the budget estimates for Country X in the year 2018. Use the chart to answer the questions that follow.

Economics

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  1. Calculate the angle for "Extension of Railway Lines".

    The sum of angles in a circle is 360∘360^\circ. The given angles are for Road Construction (130∘130^\circ), Maintenance of Public Infrastructure (80∘80^\circ), Servicing of Loans (35∘35^\circ), and Payment of Wages and Salaries (60∘60^\circ).

    Angle for Extension of Railway Lines=360∘−(130∘+80∘+35∘+60∘)\text{Angle for Extension of Railway Lines} = 360^\circ - (130^\circ + 80^\circ + 35^\circ + 60^\circ) =360∘−305∘= 360^\circ - 305^\circ =55∘= 55^\circ
  2. Solve part (a) - Determine the total budgetary expenditure.

    The government spent \110millionon"MaintenanceofPublicInfrastructure",whichcorrespondstoanangleofmillion on "Maintenance of Public Infrastructure", which corresponds to an angle of80^\circ.Letthetotalbudgetaryexpenditurebe. Let the total budgetary expenditure be E. $$ \frac{80^\circ}{360^\circ} = \frac{\110 \text{ million}}{E} E = \frac{360^\circ}{80^\circ} \times $110 \text{ million} E = 4.5 \times $110 \text{ million} E = \boxed{\mathbf{$495 \text{ million}}} $$

  3. Solve part (b)(i) - Calculate capital expenditure.

    Capital expenditure includes "Road Construction" (130∘130^\circ) and "Extension of Railway Lines" (55∘55^\circ).
    Total angle for capital expenditure =130∘+55∘=185∘= 130^\circ + 55^\circ = 185^\circ. Capital Expenditure=185∘360∘×$495 million\text{Capital Expenditure} = \frac{185^\circ}{360^\circ} \times \$495 \text{ million} =185360×$495 million= \frac{185}{360} \times \$495 \text{ million} =$254.375 million= \boxed{\mathbf{\$254.375 \text{ million}}}

  4. Solve part (b)(ii) - Calculate recurrent expenditure.

    Recurrent expenditure includes "Maintenance of Public Infrastructure" (80∘80^\circ), "Servicing of Loans" (35∘35^\circ), and "Payment of Wages and Salaries" (60∘60^\circ).
    Total angle for recurrent expenditure =80∘+35∘+60∘=175∘= 80^\circ + 35^\circ + 60^\circ = 175^\circ. Recurrent Expenditure=175∘360∘×$495 million\text{Recurrent Expenditure} = \frac{175^\circ}{360^\circ} \times \$495 \text{ million} =175360×$495 million= \frac{175}{360} \times \$495 \text{ million} =$240.625 million= \boxed{\mathbf{\$240.625 \text{ million}}}

  5. Solve part (c)(i) - Calculate total expected revenue.

    First, calculate the expenditure on "Payment of Wages and Salaries". Wages and Salaries Expenditure=60∘360∘×$495 million\text{Wages and Salaries Expenditure} = \frac{60^\circ}{360^\circ} \times \$495 \text{ million} =16×$495 million= \frac{1}{6} \times \$495 \text{ million} =$82.5 million= \$82.5 \text{ million} The total expected revenue is 525%525\% of this expenditure. Total Expected Revenue=5.25×$82.5 million\text{Total Expected Revenue} = 5.25 \times \$82.5 \text{ million} =$433.125 million= \boxed{\mathbf{\$433.125 \text{ million}}}

  6. Solve part (c)(ii) - Determine whether the budget was in surplus or deficit.

    Total expected revenue = \433.125million.Totalbudgetaryexpenditure=million. Total budgetary expenditure =$495 million. Since the total expected revenue is less than the total budgetary expenditure, the budget was in a **deficit**. $$ \text{Deficit} = \495 \text{ million} - $433.125 \text{ million} = $61.875 \text{ million} $$ The budget was a Deficit.

  7. Solve part (d) - State any two likely reasons for the budget type.

    The government operated a deficit budget. Two likely reasons are:

    • High government spending: The government might have undertaken significant capital projects (like road construction and railway extension) or increased recurrent spending (like wages and salaries, or loan servicing) without sufficient revenue generation.
    • Insufficient revenue collection: The government's tax collection or other revenue sources might have been lower than anticipated, possibly due to an economic slowdown or inefficient tax administration, leading to a shortfall compared to its expenditures.
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