How would I put this in a graph with work shown and solve problem?

A laptop manufacturer ships products to either an electronics store in Los Angeles or Boston. The Boston store needs at least 32 more laptops for their inventory, while the Los Angeles store needs at least 45. The manufacturer can send no more than 120 items total to the two locations. The cost of shipping each item is $20 to Boston and $15 to Los Angeles. The Boston store gives a $30 rebate to customers per laptop, and the Los Angeles store gives a $40 rebate for each. If the company is trying to give out at least $3,000 in rebates, how many laptops should be sent to each location to minimize the shipping costs? What is the minimum shipping cost