A candy company has 177 kg of chocolate-covered nuts and 93 kg of chocolate-covered raisins to be sold as two different mixes. One mix will contain half nuts and half raisins and will sell for $7 per kg. The other mix will contain 3/4 nuts and 1/4 raisins and will sell for $9.50 per kg.

Complete parts a and b.

(a) How many kilograms of each mix should the company prepare for the maximum revenue? Find the maximum revenue.

The company should prepare ___ kg of the first mix and _ kg of the second mix for a maximum revenue of ___.

(Note: Please fill in the blanks with the correct values after solving the problem.)

In this problem, we need to maximize the revenue that the company can make by selling a mixture of chocolate-covered nuts and raisins. Here's how we can do this.

Let's first calculate the maximum amount of each mix that can be made from the available ingredients. For the first mix (half nuts and half raisins), the company can use 88.5 kg of nuts and 88.5 kg of raisins. As for the second mix (3/4 nuts and 1/4 raisins) can be made using 70.5 kg of nuts and 23.5 kg of raisins.

The sales revenue from these two mixes can be calculated by multiplying the amount of each mix times the sales price per kg. For the first mix, the sales revenue would be $7/kg * 177 kg = $1239. For the second mix, the sales revenue would be $9.50/kg * 94 kg = $893.

So, the maximum revenue the company can generate is $1239 + $893 = $2132.

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