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You are given a matrix M = #[[7,25],[4,50]]#.
a) Find #M^-1# the inverse of M.
b) Two slaughter houses Masho and Jasho bought bulls at sh b per bull and goats at sh g per goat. Masho bought 7 bulls and 25 goats at a total cost of sh 135 000. Jasho bought
4 bulls and 50 goats at a total cost of sh 120 000.
i. Form a matrix equation to represent the information.
ii. Use the inverse M-1 in (a) above to find the price of each bull and the price of each goat.
c)Masho slaughtered all the animals and sold their
meat at a profit of 20% per goat and 40% per bull. Jasho slaughtered all the animals and sold their meat at a profit of 30% per goat and 35% per bull.
Determine who made more profit and by how much.