A farmer uses a mixture of two types of fertilizers (X and Y) to plant two types of crops (A and B). Each plant of A requires 5 grams of fertilizer X and 3 grams of fertilizer Y. Each plant of B requires 2 grams of fertilizer X and 6 grams of fertilizer Y. The cost of using 1 gram of fertilizer X is $1 and $2 on fertilizer Y. If the farmer is able to produce at least 300 grams of crop A and at most 500 grams of crop B each month, find the minimum cost of the farmer per month. (Hint: Formulate the problem as a linear programming, then plot the system to determine the solution. May attach graph paper for the plotting)
