A. The maximum profit is when : P` ( x ) = 0
P` ( x ) = ( - 0.15 x²+ 600 x - 140,500 ) `
P` ( x ) = - 0.3 x + 600
- 0.3 x + 600 = 0
0.3 x = 600
x = 600 : 0.3 = 2,000
Answer: 2000 units must be sold on a monthly basis to maximize the profit.
b. P max = - 0.15 · 2000² + 600 · 2000 - 140,500 =
= - 600,000 + 1,200,000 - 140,500 = $459,500
Answer: The maximum profit is $459,500.
The expression "f(x)" means "plug a value for x into a formula f "; the expression does not mean "multiply f and x"! Don't embarrass yourself by pronouncing or thinking of "f(x)" as being "f times x". In notation, the "x" in "f(x)" is called "the argument of the function", or just "the argument".
Answer:
the answer is b
Step-by-step explanation:
Area of a triangle = 1/2 b*h.
b = 8
h = 4
A = 1/2*8*4=16
B.