Suppose a car dealer receives a profit of $500 for each mid-sized car m sold and $750 for each sport-utility vehicle s sold. the dealer must sell at least two mid-sized cars for each sport-utility vehicle and must earn at least $3500 per week. 13suppose a car dealer sells 2 sport-utility vehicles. how many mid-sized cars must be sold to earn at least $3500?

Step-by-step explanation:

            500m = profit on mid-sized cars

             750s = profit on SUVs

500m + 750s = total profit  

You have two conditions:

(1) 500m + 750s ≥ 3500

(2)                   m ≥ 2s

Let s = 2

Check condition (1)

500m + 750 × 2 ≥ 3500

   500m + 1500 ≥ 3500

               500m ≥ 2000

                      m ≥ 4

Check condition (2)

(2) m ≥ 2 × 2

      m ≥ 4

Check:

500 × 4 + 750 × 2 ≥ 3500          4 ≥ 2 × 2

       2000 + 1500 ≥ 3500          4 ≥ 4

                   3500 ≥ 3500

OK.