Janet is planning to rent a booth at a festival for a day to sell clothes that she has made.She sells jackets for $80 and skirts for $50.Her past experiences suggests that sales of jackets will have a mean of 6.5 with a standard deviation of 1.4,and sales of skirts will have a mean of 12.6 with a standard deviation of 2.7.The cost of renting the booth for the day is $180.Let the random variable J represent the number of jackets that Janet sells and the random variable S represent the number of skirts that Janet sells.Express Janet's net income,I,in terms of J and S.
A)I = 80J + 50S - 180
B)I = 6.5J + 12.6S
C)I = 80J + 50S + 6.5E(J)+ 12.6E(S)
D)I = 6.5J + 12.6S - 180
E)I = 80J + 50S

Question

Quizplus · Accepted Answer

Janet's income will be the total revenue from selling jackets and skirts minus the cost of renting the booth. Therefore, her net income can be expressed as:
I = (80J + 50S) - 180
where 80J is the revenue from selling jackets and 50S is the revenue from selling skirts. Thus, the correct choice is A.

Janet Is Planning to Rent a Booth at a Festival