Problema Solution
You are the head seamstress at a boutique that specializes in making prom dresses. You are supervising the construction of a new style of dress that will take 180 hours of work to complete. Twenty percent of this time is for beading. Thirty-five percent of this time is for adding ruffles. The remaining time is divided equally between embroidery and sewing. When pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing. The dress is then sold in the showroom for 25% more than the cost of labor and materials. How much will this dress sell for in the boutique?
Answer provided by our tutors
Beading will take: 0.20*180 = 36 hours
36 hours of beading costs: 36*40 = $1,440
Adding ruffles will take: 0.35*180 = 36 hours
36 hours of adding ruffles costs: 36*35 = $1,260
Embroidery will take: (1/2)(180 - (36 + 36)) = 54 hours
54 hours of embroidery costs: 54*20 = $1,080
Sewing takes time as much as embroidery, that is 54 hours
54 hours of embroidery costs: 54*18 = $972
The total cost of the labor and material is:
1,440 + 1,260 + 1,080 + 972 = $4,752
25% more then $4,752 is:
1.25*4752 = $5,940
The dress will sell for $4,752.