Question

This is a lot of work into this!

Answer 1

The maximum revenue of the craftsman is an illustration of objective function

The craftsman can at most make $500, if he makes 100 bracelets

How to determine the maximum revenue?

Represent bracelet with b and necklace with n.

From the question, we have:

                 b              n        Total

Unit           10          20        1000

Time         10           40        1600

Cost         5           7.5

So, we have the objective function to be:

Max C = 5b + 7.5n

And the constraints are:

10b + 20n ≤ 1000

10b + 40n ≤ 1600

b ≥ 0

n ≥ 0

From the given graph of the constraints, we have the following feasible points

(b,n) = (0,0) (40,30) (0,50) and (100,0)

Substitute these values in the objective function

C(0,0) = 5(0) + 7.5(0) = 0

C(40,30) = 5(40) + 7.5(30) = 425

C(0,50) = 5(0) + 7.5(50) = 375

C(100,0) = 5(100) + 7.5(0) = 500

The maximum revenue is at the point (100,0)

Hence, the craftsman can at most make $500, if he makes 100 bracelets

Read more about objective functions at:

brainly.com/question/16826001