A furniture manufacturer can sell dining-room tables for $70 apiece. The manufacture‘s total cost consists of a fixed overhead of $8,000 plus production costs of $30 per table.
a. How many tables must be the manufacturer sell to break even?
b. How many tables must the manufacturer sell to make a profit of $6,000?
c. What will the manufacturer’s profit or loss if 150 tables are sold?
Solution
Price"=70"
Let "T" represent the total number of tables sold.
Total revenue
"TR=70T"
Total cost "TC=Fixed~cost +Variable ~cost"
"TC=8,000+30T"
(a) To break even total revenue must equal total cost
"TR=TC"
"70T=8,000+30T"
solving for "T"
"T= 40" tables
(b) To make a profit of "6,000"
"TR=TC+6,000"
"70T=(8,000+30T)+6,000"
Solving for "T"
"T =350" tables
(c) Net gain from 150 tables
"TR=70T=70\\times 150=10,500"
"TC=8,000+30\\times150=12,500"
Net gain "=TR-TC"
"=10,500-12,500"
"=-2,500"
The manufacturer will have a loss of "2,500" if only 150 tables are sold.
Comments
Thanks a lot
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