Question

Ahmed went to the supermarket to buy some fruits and vegetables. He bought 3 Apple, 4 Oranges, 15 bananas, 7 lemons and 12 onions, and he paid SR 87. The next day he went back and bought 4 lemons and 5 onions, and he paid SR 23. Then he went again and bought 7 apples, 1 orange and 2 onions, and he paid SR 14. Two days later, he bought 3 bananas, 2 lemon and 1 onion and paid SR 13. Then for the last time he paid SR 9 for 1 apple, 1 orange, 1 banana, 1 lemon and 1 onion Problem Requirement: Using MATLAB, we want to know the price of each type of fruit and vegetable. Fill out the below table: Apple Banana Lemon Orion Orange SR SR SR SR Priee SR Hint: Construct a matrix A from the problem above, then input the matrix into MATLAB, then use it to solve, and fill out the above table

Answer 1

To determine the price of each fruit and vegetable, a system of linear equations can be set up based on Ahmed's purchases and solved using MATLAB. This process involves constructing a matrix for the quantities bought, a matrix for the total paid each visit, and solving for the prices using matrix operations.The MCQ answer for the price of each item would be found by solving this set of equations using MATLAB.

Step-by-step explanation:

To find the price of each type of fruit and vegetable that Ahmed bought, we can set up a system of linear equations based on the purchases he made on different days. For this, we use MATLAB to solve the matrix equation A*X=B, where A is the matrix representing the quantities of items purchased, B is the matrix representing the total cost for each visit, and X is the matrix representing the price of each item.

1. Create a matrix A with each row representing one of Ahmed's shopping trips and each column representing a different fruit or vegetable.
2. Create a matrix B with each entry representing the total amount paid during each shopping trip.
3. Use MATLAB to solve for X in the equation A*X=B, which will give the prices of each fruit and vegetable.

This method can give me a big explanation park as to how matrix operations are applied to practical problems such as determining item prices, and it is analogous to how we multiply the quantity of each fruit by the price to get the total cost.