week 2\n2. who makes the most money in week 2: chris, michelle, or alex?\na. chris still makes a base salary…

week 2\n2. who makes the most money in week 2: chris, michelle, or alex?\na. chris still makes a base salary of $150 per week, but her commission this week is a graduated rate of 2.5 percent on the first $1,000 and 3.5 percent for all sales over $1,000. her sales this week were again $1,500.\nb. michelle cut back her time at the rogers to 10 hours so she could increase her hours at the pringles to 28 hours.\nc. this week alex is paid an hourly rate of $7.00 instead of the piece - work rate. each day, monday through friday, he clocked in at 9:15 a.m. and clocked out at 2:25 p.m.\nweek 3\n3. who makes the most money in week 3: chris, michelle, or alex?\na. chriss base salary is raised to $250 this week, but her commission is 1\\frac{1}{2} percent on all sales. once again, her sales were $1,500.\nb. the pringles asked michelle to baby - sit for 12 hours on the 4th of july. they paid her double time for working on the holiday. the rest of the week they were on vacation and didnt need her services. she baby - sat her usual 10 hours at the rogers.\nc. alex worked the following schedule at the rate of $7 per hour with time and a half for the weekend:\nsat. 5\nmon. 6\ntues. 5.75\nwed. 4.5\nthurs. 6.75\nfri. 5.5
Answer
Explanation:
Step1: Calculate Chris's earnings in week 2
First, calculate Chris's commission. Commission on first $1000: $1000\times0.025 = 25$. Commission on amount over $1000: $(1500 - 1000)\times0.035=17.5$. Total commission is $25 + 17.5=42.5$. Base - salary is $150$. Total earnings: $150+42.5 = 192.5$.
Step2: Calculate Michelle's earnings in week 2
Michelle worked $10$ hours at Rogers' and $28$ hours at Pringles'. Total hours worked is $10 + 28=38$. Earnings at $7$ per hour: $38\times7 = 266$.
Step3: Calculate Alex's earnings in week 2
Alex clocks in at 9:15 A.M. and out at 2:25 P.M. each day from Monday - Friday. Time worked each day: 5 hours and 10 minutes, or $5+\frac{10}{60}=5+\frac{1}{6}=\frac{31}{6}$ hours. In 5 days, total hours is $5\times\frac{31}{6}=\frac{155}{6}\approx25.83$ hours. Earnings at $7$ per hour: $\frac{155}{6}\times7=\frac{1085}{6}\approx180.83$.
Step4: Determine who earns the most in week 2
Comparing earnings: $180.83$ (Alex) $<192.5$ (Chris) $<266$ (Michelle). So Michelle earns the most in week 2.
Step5: Calculate Chris's earnings in week 3
Commission on $1500$ sales at $1.5%$: $1500\times0.015 = 22.5$. Base - salary is $250$. Total earnings: $250+22.5 = 272.5$.
Step6: Calculate Michelle's earnings in week 3
At Rogers': $10\times7 = 70$. At Pringles' on 4th of July (double - time for 12 hours): $12\times7\times2 = 168$. Total earnings: $70 + 168=238$.
Step7: Calculate Alex's earnings in week 3
Total regular - time hours: $5 + 6+5.75 + 4.5+6.75+5.5 = 33.5$ hours. Weekend hours (Saturday): 5 hours. Weekend pay (time and a half): $5\times7\times1.5 = 52.5$. Regular pay: $33.5\times7 = 234.5$. Total earnings: $234.5+52.5 = 287$.
Step8: Determine who earns the most in week 3
Comparing earnings: $238$ (Michelle) $<272.5$ (Chris) $<287$ (Alex). So Alex earns the most in week 3.
Answer:
In week 2, Michelle makes the most money. In week 3, Alex makes the most money.