Julie decides to plant three different kinds of tomato plants: Beefsteak, Roma, and Tiny Tim. She wants to plant a different number of each kind in her garden and in her greenhouse as shown below.
Total:
Garden Greenhouse
Each Beefsteak plant will produce 40 tomatoes, each Roma plant will produce 50 tomatoes, and each Tiny Tim plant will produce 20 tomatoes.
a) Determine the number of tomatoes produced in her garden and in her greenhouse. Show your work using matrix operations.
Julie wants to sell 60% of the tomatoes produced. Based on your answer in (a), determine the number of tomatoes she can sell from her garden and the number of tomatoes she can sell from her greenhouse.