Question

You own a computer store selling two types of laser printers. The first type,A, costs $141 and you make a $45 profit on each one. The second type,B, costs $110 and you make a $35 profit on each one. You expect to sell at least 100 laser printers this month and you need to make at least $3850 profit on them. If you must order at least one of each type of printer, how many of each type of printer should you order if you want to minimize your cost?

Can someone please show me the steps?

Answer 1

You need to minimize
C = 141a + 110b

subject to

45a + 35b >= 3850
a+b >= 100
a >= 1
b >= 1

Graph those lines, and check the value of C at each vertex. You will see that

C(35,65) = 3850 gives the minimum cost.