Questiul 3 Bob is a young entrepreneur 1who recently graduated from UPSA and using three different ingredient (our, sugar and butter} to produce three different kinds cakes namely Boban. Boapp and Bopine to be supplied to a pastries store at Shoprite. In order to produce a dozen cakes of Boban requires 5g each of our. sugar and butter. Also, producing Boapp requires 15g each of butter and sugar together 1with 20g of our while producing Bopine requires ISg each of sugar and flour. and Zg ofbutter. in any particular day, the company has a total of ITg. lg and Ig of butter, sugar and flour available respectively. {a} Write three linear equations and hence form a matrix to represent me above problem {b} Determine the number dozens of cakes of each brand of cakes that should be produced oor the available raw materials using matrix inversion