4. A fast-food chain has many hundreds of franchisesnationwide. Ideally, each franchise would generateequal amounts of revenue for the chain, but in reality,some perform better than others. An internal auditreveals the following results: the lowest 30% of thefranchises account for just 6% of the total revenue,the lowest 50% account for 20% of the total revenue,and the lowest 70% account for 43.5% of the totalrevenue. (Assume that 100% of the franchisesaccount for 100% of the total revenue.)BURGERKING??BurgerChefDrive ThruBREAKFASTDRIVE THRUMMcDonald'sBILLION SEVEDDRIVE-THRUArby'sROASTBEEFSandwichBURGERKINGBURGERKINGa) Use regression to determine a power function thatmodels these data, and write the Lorenz functionin the form f(x) = x". The coefficient should be1, so you may have to do some rounding.b) Determine the Gini coefficient and the Gini index.c) What percentage of total revenue is generated bythe lowest 45% of the franchises?d) What percentage of total revenue is generated bythe top 10% of the franchises?

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4. A fast-food chain has many hundreds of franchises nationwide. Ideally, each franchise would generate equal amounts of revenue for the chain, but in reality, some perform better than others. An internal audit reveals the following results: the lowest 30% of the franchises account for just 6% of the total revenue, the lowest 50% account for 20% of the total revenue, and the lowest 70% account for 43.5% of the total revenue. (Assume that 100% of the franchises account for 100% of the total revenue.) BURGER KING ?? Burger Chef DRIVE THRU ''M McDonald's Arby's BOAST BEEF Sandwich BURG