Answer:
A). 3 Labors will produce 16 cakes which can be sold in $160 giving 25% profit margin which is the maximum profit.
Labors   cost    cakes    Sales    Profit    %
1 Â Â Â Â Â 40 Â Â Â Â Â Â Â 3 Â Â 30 -10 Â Â Â 33%
2 Â Â Â Â Â 80 Â Â Â Â Â Â Â 10 Â Â 100 Â 20 Â Â Â Â 20%
3 Â Â Â Â Â 120 Â Â Â 16 Â Â 160 Â 40 Â Â Â Â 25%
4 Â Â Â Â Â 160 Â Â Â 21 Â Â 210 Â 50 Â Â Â Â 24%
5 Â Â Â Â Â 200 Â Â Â 25 Â Â 250 Â 50 Â Â Â Â 20%
6 Â Â Â Â Â 240 Â Â Â 28 Â Â 280 Â 40 Â Â Â Â 14%
Explanation:
Please refer to the attached file for detailed calculation of profit margin.
Profit margin(Gross Profit/Sales) : is the ratio used to calculate to measure maximum profit.
Option A, 3 labors are delivering maximum efficiency in work and producing maximum number of cakes resulting in the highest profit margin.