Lisa has an online jewelry shop where she sells earrings and necklaces. she sells earrings for $30 and necklaces for $40. it takes half an hour to make a pair of earrings and 1 hour to make a necklace. lisa only has 10 hours a week to make jewelry. in addition, she only has enough materials to make 15 total jewelry items per week. she makes a profit of $15 on each pair of earrings and $20 on each necklace. how many pairs of earrings and necklaces should lisa make each week in order to maximize her profit, assuming she sells all her jewelry?

10 pairs of earrings and 5 necklaces (the maximum profit will be $250)

Step-by-step explanation:

Let x be the number of earrings and y be the number of necklaces Lisa makes.

1.  Lisa only has enough materials to make 15 total jewelry items per week, then

2.  It takes half an hour to make a pair of earrings, so it takes her hours to make x earrings. It takes her 1 hour to make a necklace, so it takes her y hours to make y necklaces. Lisa only has 10 hours a week to make jewelry, thus

3. Lisa makes a profit of $15 on each pair of earrings and $20 on each necklace. In total her profit is

You have to find the maximum value of the function with respect to inequalities

Draw the solution set on the coordinate plane (see attached diagram). The maximum value of the efunction P is at point (10,5) and is

b

step-by-step explanation: