Aperson is ordered by doctor to take 22 units of vitamin a, 18 units of vitamin d, and 11 units of vitamin e each day. there are three brands of vitamin supplement available: brand x contains 2, 1, and 2 units, brand y contains 3, 2, and 2 units and brand z contains 4, 4, and 1 units of vitamin a, d, and e, respectively. how many pills of each brand will provide the required amounts of vitamin? pills of brand x, pills of brand y and pills of brand z.

2 pills of brand X, 2 pills of brand Y and 3 pills of brand Z.

Step-by-step explanation:

Required Vitamin :

Vitamin A ⇒ 22 unit

Vitamin D ⇒ 18 unit

Vitamin E ⇒ 11 unit

Units of A,  D,  E per brand :

X            2    1    2

Y            3    2    2

Z             4    4    1

Let 'u' units of X

     'v' units of Y

     'w' units of Z required

Then,

      2u + 3v + 4w  = 22 (1)

      1u  + 2v + 4w  = 18 (2)

     2u  + 2v + 1w  = 11 (3)

By solving the linear equation

u = 2, v = 2, w = 3

2 pills of brand X, 2 pills of brand Y and 3 pills of brand Z.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

he will have 300 because he is really broke and 300 is in his imangine

step-by-step explanation: he ehe heh step by the thy