Find the maximum and minimum values of the objective function f(x, y) and for what values of x and y they occur, subject to the given constraints.
f(x, y) = 10x + 4y
x ≥ 0
y ≥ 0
2x + 10y ≤ 100
9x + y ≤ 54

a. max at (5,9)=69, min at (0,0)=0
b. max at (6,12)= 108, min at (0,0)=0
c. max at (0,10)=40, min at (0,0)=0
d. max at (6,0)=60, min at (0,0)=0

D. is not the answer

c. max at (0,10)=40, min at (0,0)=0

if not c then A

Step-by-step explanation:

C

Step-by-step explanation:

Just took the test

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

step-by-step explanation:

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