Related questions with answers

The natural diet of a certain animal consists of three foods: A, B, and C. The number of units of calcium, iron, and protein in 1 gram of each food and the average daily intake are given in the table. A scientist wants to investigate the effect of increasing the protein in the animal's diet while not allowing the units of calcium and iron to exceed its average daily intakes. How many grams of each food should be used to maximize the amount of protein in the diet? What is the maximum amount of protein?

\begin{matrix} \text{} & \text{Units per Gram} & \text{} & \text{} & \text{Average Daily}\\ \text{} & \text{Food A} & \text{Food B} & \text{Food C} & \text{Intake (units)}\\ \text{Calcium } & \text{1} & \text{3} & \text{2} & \text{30}\\ \text{Iron} & \text{2} & \text{1} & \text{2} & \text{24}\\ \text{Protein } & \text{3} & \text{4} & \text{5} & \text{60}\\ \end{matrix}

What are some of the solutes in low-fat chocolate milk?

A textile mill uses two blended yams-a standard blend that is 30% acrylic, 30% wool, and 40% nylon and a deluxe blend that is 9% acrylic, 39% wool, and 52% nylon-to produce various fabrics. How many pounds of each yarn should the mill use to produce a fabric that is at least 20% acrylic?

Question

" $$ \begin{matrix} \text{Food (1 cup)} & \text{Calcium (\\% Daily Value)} & \text{Calories} & \text{Calories From Fat}\\ \text{Chocolate Milk} & \text{30} & \text{230} & \text{80}\\ \text{Low-fat Milk} & \text{35} & \text{110} & \text{20}\\ \text{Plain yogurt} & \text{35} & \text{110} & \text{35}\\ \end{matrix} $$ " -How many cups of low-fat milk provide 100% of the day's Daily Value for calcium?

Solution

Verified

Step 1

1 of 2

1 cup of low-fat milk provides 35% of daily calcium needs. To calculate how many cups of low-fat milk are needed to reach 100%, we have to divide 100 with 35:

$100\div35=2.9\approx3$