Answer:
(A) 100 (in thousands)
(B) 180 (in thousand dollars)
Step-by-step explanation:
Given:
profit function as P(q) = -0.02q² + 4q - 20
where,
q is the number of thousands of pairs of sunglasses sold and produced,
P(q) is the total profit in thousands of dollars
To find the point of maxima differentiating the above equation and equating it to zero
P'(q) = - (2)0.02q + 4 - 0 = 0
or
⇒ - 0.04q + 4 = 0
or
⇒ - 0.04q = - 4
or
⇒ q = 100
Hence,
(A) 100 pairs of sunglasses (in thousands) should be sold to maximize profits
(B) Substituting the value of q in the profit function to calculate the actual maximum profit
P(q) = -0.02(100)² + 4(100) - 20
or
P(q) = - 0.02(10000) + 400 - 20
or
P(q) = - 0.02(10000) + 400 - 20
or
P(q) = 180 (in thousands dollar)
The GCF for the numbers 9,6,2 is 1. Since there are no variables in common the answer is just 1.
Answer:
Do practice problems and check your answers, watch helpful videos (without getting sidetracked), and ask the teacher for help. You're only helping yourself.
Step-by-step explanation:
Answer:
slope = 3 and point on the line is (5, 6 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 6 = 3(x - 5) ← is in point- slope form
with slope m = 3 and (a, b) =( 5, 6 ) ← point on the line
Answer:
y=1/2x-4
Step-by-step explanation:
