Answer:
C. 1/4 lb of chicken per person
Step-by-step explanation:
Find the rate of change for the situation.
A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
A. 9/17lb per person
B. 4 lb per person
C. 1/4 lb per person
D. 36 people
Solution
9 lbs of chicken for 36 people
Chicken per person = Total lbs of chicken / Total number of people
= 9 lbs / 36 people
Chicken per person = 1/4 lb of chicken per person
17 lbs of chicken for 68 people
Chicken per person = Total lbs of chicken / Total number of people
= 17 lbs / 68 people
= 1/4 lb of chicken
Chicken per person = 1/4 lb of chicken per person
Therefore, the rate of change of the situation = 1/4 lb of chicken per person
Answer:
-3
2
5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the Total revenue R(x) = 2x
Cost C(x) = 0.01x²+0.3x+30 where;
x = 30 and dx/dt = 9units per day.
Rate of change of revenue dR/dt = dR/dx • dx/dt
dR/dt = 2dx/dt
dR/dt = 2(9) = $18
Rate of change of revenue with respect to time is 18dollars/day.
Rate of change of cost dC/dt = dC/dx • dx/dt
dC/dt = (0.02x+0.3)dx/dt
dC/dt at x = 30 and dx/dt = 9 will give;
dC/dt = {0.02(30)+0.3}×9
dC/dt = (0.6+0.3) × 9
dC/dt = 0.9×9
dC/dt = $8.1
Rate of change of cost with respect to time is 8.1dollars/day
Profit = Revenue - Cost
Profit = 18-8.1
Daily Profit = $9.9
Working attached below:
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