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Suppоse yоu hаve $2,000 tо invest in two promising cryptocurrencies: DogeCoin аnd CаteCoin. Each DogeCoin is worth $0.01, and each CateCoin is worth $0.02. Your “friend” says that DogeCoin will take off any day now, so you want to buy at least 4 times as many DogeCoins as you do CateCoins. Your good friend warns you that CateCoin isn’t real, so you only want to invest at most $350 into CateCoin, just to be safe. The Bogus Stocks Safety Board has given a risk rating of 4 for each DogeCoin, and 3 for each CateCoin. How many of each cryptocurrency should you buy in order to minimize your total risk rating? Write the objective function and all the constraints for this linear programming problem. Note that the variables have been established for you. Variables: d := the number of DogeCoins purchased c := the number of CateCoins purchased R := your investment’s total risk rating Type your answers in the box below. USE THE FOLLOWING FORMAT FOR YOUR ANSWERS: Objective is to _____________ the function ______________________ subject to the constraints: (constraint) (constraint) (constraint) (constraint) (constraint) When typing, you may use