Calculating Maximum Income for Yard Ornament Artists
Question:
If Nina and Rob, two artists who make yard ornaments, get $80 for each wooden snowman and $64 for each wooden Santa Claus, and they have time constraints, what will be their maximum income?
a. 576
b. 448
c. 480
d. 416
Final answer:
The maximum income for Nina and Rob, considering their time constraints, will be $1904.
Explanation:
To calculate the maximum income, we need to consider the number of snowmen and Santa Clauses each artist can make within their time constraints. Nina takes 4 hours to make a snowman and 3 hours for a Santa Claus, while Rob takes 2 hours for a snowman and 4 hours for a Santa Claus.
Let's start with Nina. Since she can't work more than 20 hours per week, we need to find the maximum number of snowmen and Santa Clauses she can make within this time constraint.
For snowmen, Nina takes 4 hours to make one. So, within 20 hours, she can make a maximum of 20/4 = 5 snowmen.
For Santa Clauses, Nina takes 3 hours to make one. So, within 20 hours, she can make a maximum of 20/3 = 6 Santa Clauses.
Now let's move on to Rob. Like Nina, he can't work more than 20 hours per week. We'll find the maximum number of snowmen and Santa Clauses he can make within this time constraint.
For snowmen, Rob takes 2 hours to make one. So, within 20 hours, he can make a maximum of 20/2 = 10 snowmen.
For Santa Clauses, Rob takes 4 hours to make one. So, within 20 hours, he can make a maximum of 20/4 = 5 Santa Clauses.
Now, let's calculate the maximum income for each artist. Nina earns $80 for each snowman and $64 for each Santa Claus, while Rob earns the same amounts.
Nina's maximum income from snowmen = 5 snowmen * $80/snowman = $400
Nina's maximum income from Santa Clauses = 6 Santa Clauses * $64/Santa Claus = $384
Rob's maximum income from snowmen = 10 snowmen * $80/snowman = $800
Rob's maximum income from Santa Clauses = 5 Santa Clauses * $64/Santa Claus = $320
Finally, we can calculate the total maximum income by adding Nina's and Rob's maximum incomes.
Total maximum income = Nina's maximum income + Rob's maximum income = $400 + $384 + $800 + $320 = $1904