Answer:
B) 2 frozen dinners and 2 dozen jelly doughnuts
Step-by-step explanation:
Calculate the total utility for each option.
A) 46
B) 32 + 21 = 53
C) 16 + 30 = 46
D) 28
Option B has the highest total utility.
Answer:
P is exactly 3km east from the oil refinery.
Step-by-step explanation:
Let's d be the distance in km from the oil refinery to point P. So the horizontal distance from P to the storage is 3 - d and the vertical distance is 2. Hence the diagonal distance is:

So the cost of laying pipe under water with this distance is

And the cost of laying pipe over land from the refinery to point P is 400000d. Hence the total cost:

We can find the minimum value of this by taking the 1st derivative and set it to 0

We can move the first term over to the right hand side and divide both sides by 400000


From here we can square up both sides






d = 3
So the cost of pipeline is minimum when P is exactly 3km east from the oil refinery.
Answer: R(t) = 750 + 0.04t
Step-by-step explanation:
Here's the complete question:
Ebuka's monthly rent is $750. If Ebuka pays the rent late, his landlord charges 4% interest per week that the payment is late. Write a function that gives the total cost R(t), in dollars, of Ebuka's rent if he pays it t weeks late.
The above question will be represented by:
R(t) = $750 + (4% × t)
R(t) = 750 + (4/100 × t)
R(t) = 750 + 0.04t
5.7595. i am not sure if i’m correct but it is the rounded version.
Answer:
18.4 but io do not know what expression can be used to find out your questions
Step-by-step explanation: