A diet is to include at least 140 milligrams of vitamin A and at least 140 milligrams of vitamin B. These requirements are to be obtained from two types of food. Type X contains 10 milligrams of vitamin A and 20 milligrams of vitamin B per pound. Type Y contains 30 milligrams of vitamin A and 50 milligrams of vitamin B per pound. If type X food costs $12.00 per pound and type Y food costs $8.00 per pound how many pounds of each type of food should be purchased to satisfy the requirements at the minimum costs? What is the minimum cost?

Step-by-step explanation:

The quantity of vitamin A in the food is ...

  10X +30Y ≥ 140

and vitamin B ...

  20X +50Y ≥ 140

The cost, which we want to minimize is ...

  12X +8Y

__

A graph shows that any diet meeting the requirement for vitamin A will also meet the requirement for vitamin B. Vitamin A in the form of cereal X costs ...

  $12/(10 mg) = $1.20/mg

In the form of cereal Y, it costs ...

  $8/(30 mg) ≈ $0.27/mg

So, cost is minimized by satisfying the vitamin requirements using cereal Y exclusively. That cost is $37.33 for 4 2/3 pounds of cereal Y only.

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.