Text: PLEASE HURRY
Three different materials A, B, and C are required for the manufacture of a particular chemical. Before forming the chemical, A, B, and C are separately dissolved in water in certain volumes (respectively V1, V2, V3 cm³). The solution containing A has a concentration of 1.X g/cm³, the solution containing B has a concentration of 3.X g/cm³, and the solution containing C has a concentration of 5.X g/cm³.
When these mixtures are combined and 25.07 g of chemical is added, a chemical reaction occurs and a new chemical is produced. The concentrations of A, B, and C in the resulting solution are 2.X, 4.X, and 5.X, respectively.
When the concentration of A is changed to 2.X g/cm³ (while keeping the volumes the same), 22.36 g of chemical is produced. The concentrations of B and C remain the same.
Finally, when the concentration of A is changed to 3.X g/cm³, 28.14 g of chemicals are produced. The concentrations of B and C remain the same.
You need to determine the volumes of the solutions for A, B, and C.
a) Set up the system of equations.
b) Show the solution of the system of equations with Matlab.
Please take X=4 (for example, 5.X=5.4).