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Given the vector uu with magnitude 88 and direction 95, degrees, comma95 ∘ , and vector vv with magnitude 66 and direction 345, degrees, comma345 ∘ , find the magnitude and direction of the sum u, plus, v, .u+v. Write the sum u, plus, vu+v in magnitude and direction form with the magnitude rounded to the nearest tenth and the direction rounded to the nearest degree.



Answer :

Step-by-step explanation:

Solve the following linear programming problem graphically:

Minimize Z = 6x + 2y

Subject to:

(3x + 2y > 12

2x + 4y < 12

y1

(x > 0, y > 0

2. A nutritionist is planning a menu consisting of two main foods A and B.

Each ounce of A contains 2 units of fat, 1 unit of carbohydrates, and 4

units of protein. Each ounce of B contains 3 units of fat, 3 units of

carbohydrates, and 3 units of protein. The nutritionist wants the meal to

provide at least 18 units of fat, at least 12 units of carbohydrates, and at

least 24 units of protein. If an ounce of A costs 20 cents and an ounce of

B costs 25 cents, how many ounces of each food should be served to

minimize the cost of the meal yet satisfy the nutritionist's requirements?

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