Here are the calculations for part c):
c) The following information has been provided:
Total sales: Ksh 600,000
Selling Price Per Unit: Ksh 200
Variable Cost Per Unit: Ksh 80
Fixed Cost: Ksh 150,000
1) Calculate the P/V Ratio.
Step 1: Calculate the Contribution Margin per unit.
ContributionMarginperunit=SellingPriceperunit−VariableCostperunit
ContributionMarginperunit=Ksh200−Ksh80=Ksh120
Step 2: Calculate the P/V Ratio.
P/VRatio=SellingPriceperunitContributionMarginperunit×100%
P/VRatio=Ksh200Ksh120×100%
P/VRatio=0.60×100%=60%
The P/V Ratio is also known as the Contribution Margin Ratio.
P/V Ratio = 60%
2) Calculate the Break-Even Point.
Step 1: Calculate the Break-Even Point in Units.
Break−EvenPoint(Units)=ContributionMarginperunitFixedCosts
Break−EvenPoint(Units)=Ksh120perunitKsh150,000
Break−EvenPoint(Units)=1,250units
Step 2: Calculate the Break-Even Point in Sales Revenue.
Break−EvenPoint(SalesRevenue)=P/VRatioFixedCosts
Break−EvenPoint(SalesRevenue)=0.60Ksh150,000
Break−EvenPoint(SalesRevenue)=Ksh250,000
Break-Even Point = 1,250 units or Ksh 250,000
3) If the selling price is reduced to Ksh 100, calculate the New Break-Even Point.
Step 1: Calculate the New Contribution Margin per unit.
New Selling Price per unit = Ksh 100
Variable Cost per unit = Ksh 80
NewContributionMarginperunit=NewSellingPriceperunit−VariableCostperunit
NewContributionMarginperunit=Ksh100−Ksh80=Ksh20
Step 2: Calculate the New Break-Even Point in Units.
Fixed Costs = Ksh 150,000
NewBreak−EvenPoint(Units)=NewContributionMarginperunitFixedCosts
NewBreak−EvenPoint(Units)=Ksh20perunitKsh150,000
NewBreak−EvenPoint(Units)=7,500units
Step 3: Calculate the New P/V Ratio (optional, for calculating Break-Even Point in Sales Revenue).
NewP/VRatio=NewSellingPriceperunitNewContributionMarginperunit×100%
NewP/VRatio=Ksh100Ksh20×100%=20%
Step 4: Calculate the New Break-Even Point in Sales Revenue.
NewBreak−EvenPoint(SalesRevenue)=NewP/VRatioFixedCosts
NewBreak−EvenPoint(SalesRevenue)=0.20Ksh150,000
NewBreak−EvenPoint(SalesRevenue)=Ksh750,000
New Break-Even Point = 7,500 units or Ksh 750,000
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