Answer:
Step-by-step explanation:
The logistic differential equation is as follows:
In this problem, we have that:
, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.
At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.
This means that when
. With this, we can find r, that is, the growth rate,
So
So the differential equation is:
Answer:
He must charge minimum £0.84 for one hot dog.
Step-by-step explanation:
Ingredients cost for hot dogs at the supermarket,
Price of dog sausages tin of 8 = 50p ≈ £0.5
Price of dog bun packs of 6 = 90p ≈ £0.90
Number of tins required for 150 hot dogs = = 6.25
So student will purchase 7 tins.
Cost of 7 tins = 7 × 0.5
= £3.5
Number of dog buns packets required = = 25
Cost of 25 packs = 25 × 0.9
= £22.5
Total cost of the material used for 150 buns = 22.5 + 3.5
= £26.0
Let the selling price of each hot dog = £x
Then selling price of 150 hot dogs = £150x
Students wants the profit = £100
So, Selling price - Cost price = profit
150x - 26 = 100
150x = 126
x =
x = £0.84
Therefore, he must charge minimum £0.84 for one hot dog.