Georgia is a farmer and wants to plant a crop of tomato plants so she can sell her crop at the local farmer’s market. she already has a large number of plants cultivated from last year’s harvest. each should produce an average of 35 tomatoes per plant during the growing season. she found a nursery to buy more tomato plants at which are a different type. she found that these tomato plants will cost $5.25 each and should produce 25 tomatoes per plant in average over the course of the growing season. when planting, she wants to arrange the plants so that there are 5 fewer plants in each column than there are in each row. georgia can spend no more than$500 on tomato plants. in order to meet customer demands, she needs at least 5,000 tomatoes during the growing season. create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.