How many grams of each product should he buy in order to minimize the daily cost of keeping the zucchini alive?

The Food Computer is a revolutionary, open-source device developed by MIT’s OpenAg Initiative. It allows farmers control the environment in which crops are grown in order to produce a better and more health crop. Using the food Computer farmers can control attributes such as carbon, humidity, oxygen, nitrogen and hydrogen in the environment where crops are grown, using programmable “climate recipes” designed to optimize vegetation growth.

One of the farmers bought this Food computer and wants to use it to grow his zucchini plant crop. He did some research and found that he needs to maintain carbon levels between 450 mg and 600 mg and nitrogen level at exactly 110mg. To have the perfect zucchini crop.

The farmer now needs help in selecting a product, that he can spray using his Food computer to get the desired levels of carbon and nitrogen. You have some experience with the food computer and you tell the farmer that he has three different products available to buy based on his need. Below are the specifications of the products:

ProductCarbon Concentration (mg/gram)Nitrogen Concentration (mg/gram)Cost (cents/gram)1260813.22450441.83140201.1

Part 1

The farmer wanted to minimize his cost of buying these products, while still meeting the nutritional requirements of the plant. How many grams of each product should he buy in order to minimize the daily cost of keeping the zucchini alive? (Please enter your answer in grams, rounded to two decimals, with no weight unit. For example, if your answer is 1.2345 grams, enter 1.23 in the space.)

Grams of Product 1:

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Grams of Product 2:

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Grams of Product 3:

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Part 2

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How much will the farmer have to spend to buy these product quantities every day (in cents per day)? (For calculating the cost, use the exact value of the product quantities before you rounded them off for part 1 answers. Please enter your answer rounded to two decimals, with no unit. For example, if your answer is 1.2345 cents, enter 1.23 in the space.)

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How many mg of Carbon would your solution provide to the plant every day? (Please round your answer to integer number)

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To learn more about the Food Computer, click here

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