Please I need an expert to help me with the solution to this 2 question. i will really appreciate it, thank you. Set up a system of equations and then solve using Cramer's Rule.Three different bacterial species are cultured in one dish and feed on three nutrients. Each individual of species I consumes 1 unit of each of the first and second nutrients and 2 units of the third nutrient. Each individual of species II consumes 4 units ofthe first nutrient and 4 of the third nutrient. Each individual of species III consumes 2 units of the first nutrient, 3 units of the second nutrient, and 5 units of the third nutrient. If the culture is given 5400 units of the first nutrient, 6600 units of the secondnutrient, and 12,000 units of the third nutrient, how many of each species can be supported so all the nutrients are consumed?Set up the system of equations. Let x represent the number of individual bacteria of species I, let y = represent the number of individual bacteria of species II, and let z represent the number of individual bacteria of species III. Select all that apply.O A. 2x + 4y + 5z = 12,000O B. x+4y + 2z = 5400O C. x+3z = 6600O D. x+4y + 2z = 12,000O E. X+3z = 5400O F. 2x+ 4y + 5z = 6600How many of each species can be supported so all the nutrients are consumed? Select the correct choice and fill in the answer box(es) to complete your choice.O A. There is one solution. There will beof species I,of species II, andspecies II.(Type integersfractions.)O B. There are infinitely many solutions. Let z be a free variable so that there will be of species I,of species II, and betweenandof species II.(Type expressions using z as the variable. Use ascending order. Type integers or fractions.) Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product thedepartments need.SteelWoodPlasticDepartment ADepartment B504020402040These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right.CompanyCompany CDSteelWood610320540180320400PlasticCo. CCo. Da. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts intothe cost matrix shown on the right.Dept. ADept. Bb. From which supplier should each department make its purchase?Which company should department A use?Company DCompany CWhich company should department B use?Company DCompany C

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