The revenue is given by the unit price * number of units.
Profit = Revenue - Cost = 200x - 500,000 - 80x - 0.003x^2 = 120x - 500,000 - 0.003x^2
For profit to be maximum dP/dx = 0
120 - 0.006x = 0
x = 120/0.006 = 20,000
Therefore, to maximize profit, the firm should produce 20,000 penicillin.
Answer:
-$12
Step-by-step explanation:
Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.
63+75+9+41+85-285= -$12
Step-by-step explanation:
step 1. KITE is a kite
step 2. <ski + <kis + 90 = 180 (internal angles of a triangle has a sum of 180)
step 3. <ski + 25 = 90
step 4. <ski = 65°
step 5. <kes = <kis (angles across equal sides are equal)
step 6. <kes = 25°
step 7. <kie = <kis (they are the same angle)
step 8. <kie = 25°.
step 9. let's call ek = x and et = 1 5x
step 10. therefore x + 1.5x + x + 1.5x = 55
step 11. 5x = 55 or x = 11 = ek
step 12. et = 1.5x = 1.5(11) = 16.5.
Answer:
9 cm
Step-by-step explanation:
V = 1/3 pi r^2 h
V = 1/3 * 3.14 * 5^2 * h
236 = 1/3 * 3.14 * 25 * h
236 = 26.1667 h
236 / 26.1667 = h
9.019 = h
Rounded to the nearest whole number the h is about 9 cm.
The first function is represented by the green line, while the second is represented by the orange line
<h3>What are piecewise functions?</h3>
Piecewise functions are functions that have at least 2 sub functions, each of which have different intervals
The function is defined by

<h3>(a) Graph the first function</h3>
The first function in f(x) is defined by

See attachment for the graph of the first function
<h3>(b) Graph the second function</h3>
The second function in f(x) is defined by

See attachment for the graph of the second function
Read more about piecewise functions at:
brainly.com/question/18859540