Assignment on Applied Mathematics
9 Pages1006 Words358 Views
Added on 2020-04-07
Assignment on Applied Mathematics
Added on 2020-04-07
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Applied MathematicsNameUniversity21st September 20171
Page 30:Q16: Silvio’s gross earnings for last week were $328.54. His remuneration consists of a basesalary of $280 plus a commission of 6% on net sales exceeding his weekly quota of $5000. Whatwere Silvio’s gross sales for the week if sales returns and allowances were $136?SolutionLet gross sales be s;280+0.06(s−136−5000)=$328.54280+0.06s−308.16=328.540.06s−28.16=328.54,S=$5945=Grosssales.Q18: Ramona’s Dry Cleaning shows sales revenue of $76,000 for the year. Romano’s GST-taxable expenses were $14,960. How much should she remit to the government at the end of theyear?SolutionTaxonGST=0.05∗14,960=$748TaxonSalesrevenue=0.08∗76,000=$6,080Totalamount¿remit=$6,080+$748=$6,828Q20: A store located in Kelowna, B.C., sells a computer for $1868 plus GST and PST. If thesame model is sold at the same price in a store in Kenora, Ontario, what is the difference in theprices paid by customers in the two stores?SolutionIn Kelowna BC, total tax rate = PST + GST = 7% + 5% = 12% Similarly In Kenora Ontario, total tax rate = HST + GST = 8% + 5% = 13%Therefore in Kelowna BC,Consumer would pay $1868 + 12% of$1868 = 1868 + 224.16 = $2092.16Also in KenoraConsumer would pay $1868 + 13% of$1868 = 1868 + 242.84 = $2110.84Difference in price = $2110.84 - $2092.16 =$18.68Page 116-117:2
Q2: The following information is available from the accounting records of Eva Corporation:Fixed costs per period are $4800. Sales volume for the last period was $19,360, and variablecosts were $13,552. Capacity per period is a sales volume of $32,000.(a)Compute(i)The contribution margin;Contributionmargin=Revenue–VariablecostContributionmargin=$19,360–$13,552Contributionmargin=$5,808(ii)The contribution rateSolutionContributionrate=ContributionmarginRevenue=$5808$19360=30%(b)Compute the break-even point(i)In sales dollars;SolutionBreak−evenpoint∈sales=Total¿expenses¿Contributionrate=$48000.3=$16,000(ii)As a percent of capacity.SolutionBreak−evenpointasapercentageofcapacity=Break−evenpoint∈unitsCapacityfortheperiod=$16000$32000∗100%=50%(c)Draw a detailed break-even chart.Solution(d)For each of the following independent situations, determine the break-even point:(i)Fixed costs are decreased by $600;Solution3
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