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BAT Industries is a manufacturer of orange juice in Jamaica. In 2022 it sold a bottle of orange juice to wholesalers for $100 and its variable costs is $40 and fixed costs is $100,000 monthly:
Using the information provided.
i. How many bottles of orange juice must the company sell in order to break even and what is the breakeven revenue?
ii. If the company sold 1,500,000 bottles of orange juice for the year 2022, what was its profit?
iii. Due to inflation, in 2023 fixed costs are expected to rise to $175,000 monthly. What will be the NEW break-even quantity and revenue?
iiii. If the company will sell the same number of orange juice as it did in 2022 and it wants to make the same profit as in 20222, what price should they sell each bottle of orange Juice for in 2023?
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.6.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
.4 If Universal Set U = {90, 91 , 92 , 93 , 94, 95 , 96 , 97 , 98, 99 , 100} (10)
A = {90, 92, 94, 96, 98, 100}, B= {91, 93, 95, 97, 99},
C = {90, 94, 98}
1.4.1 What is (A ∩ C)c 1.4.2 What is (B ∪ C
give steps please
1.3 Using a Truth table, determine the value of the compound proposition
((𝑝 ∨ 𝑞) ∧ (¬𝑝 ∨ 𝑟)) → (𝑞 ∨ 𝑟)
give steps please
1.1 Determine whether ( 𝑝∨𝑞)∧(𝑝→𝑟)∧( 𝑞→𝑠)→𝑟∨𝑠 is a Tautology or a contradiction
And give steps please
4/p+p/6-3p/2
If the amount of cosmic radiation to which a person is exposed while flying by jet across the United States is a random variable having the normal distribution with mean as
4.35 mrem and standard deviation as 0.59 mrem. Find the probabilities that the amount of cosmic radiation to which a person is exposed on such a flight is:
a) Between 4.00 mrem to 5.00 mrem,
b) At least 5.50 mrem,
c) No more than 4.5 mrem.
What does doing mathematics mean?
trace the curve (x^2+y^2)x=2x62+y^2
4) Express the negations of each of these statements so that all negation symbols immediately precede predicates.
a) Rita will move to Oregon or Washington:
b) if it rains today then the home team wins:
c) ∃x∃yP(x, y) ∧ ∀x∀yQ(x, y).
d) ∃x∃y(Q(x, y) ↔ Q(y, x)).
#339914 on Dec 2023