Susan’s business makes handmade dresses. The business sells three different kinds of dresses: evening gowns, sundresses, and coc
ktail dresses. To make an evening gown, it takes 3 hours to cut the material, 2 hours to pin the pieces together, and 5 hours to sew the dress. To make a sundress, it takes 1 hour to cut the material, 1.5 hours to pin the pieces together, and 3 hours to sew the dress. To make a cocktail dress, it takes 2 hours to cut the material, 1 hour to pin the pieces together, and 2.5 hours to sew the dress. Susan’s employees spent a total of 54 hours cutting, 38.5 hours pinning, and 91 hours sewing in a particular week. How many of each type of dress did they produce? That week, the employees produced evening gowns, sundresses, and cocktail dresses.
2 answers:
You might be interested in
Answer:
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is 202500 swordfishes.
Step-by-step explanation:
Let be , the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)
First Derivative Test
Let equalize the resulting expression to zero and solve afterwards:
Second Derivative Test
This means that result on previous part leads to an absolute maximum.
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is:
The maximum sustainable yield is 202500 swordfishes.