Hi there! Can I get some help please?
Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100. Show your work.
Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100. Show your work.
1 Answer
Sep 12, 2017
30
Explanation:
Cost (in $) as a function of the number of shirts made:
C(n)=20+8nC(n)=20+8n
Money made (in $) as a function of the number of shirts sold:
M(n)=12nM(n)=12n
Profit = money made - cost
P(n)=12n-(20+8n) = 4n-20P(n)=12n−(20+8n)=4n−20
We want profit to be at least $100
P(n)\ge100P(n)≥100
4n-20\ge1004n−20≥100
4n\ge1204n≥120
n\ge30n≥30
So they have to sell at least 30 shirts.
