Answer:
False
Explanation:
Since for finding out whether the offer is accepted or not, first we have to determine the total cost at 600 number of players and for 601 number of players which is
The total cost of 600 players is
= 600 × $300
= $180,000
The total cost of 601 players is
= 601 × $301
= $180,901
Now the marginal cost is 601 player is $901 which is difference between the $180,000 and $180,901 that is higher than the offered price i.e $550
Therefore, the offer should not be accepted
Each unit sells: $80
Each unit costs to make: $32
Fixed costs: 72,000
Goal: 2,000 units sold
If they meet their goal, let's see how that would go:
(2,000 * 80) - (2,000 * 32) - 72,000 = ?
160,000 - 64,000 - 72,000 = 24,000
24,000 is the profit they would make for hitting their goal.
Question 1:
What is the break-even point? The break-even means they make no money, but they also lose no money. So that final number (24,000) would be 0 instead. How many units would they have to make to hit zero?
(x * 80) - (x * 32) - 72,000 = 0.
80x - 32x = 72,000
48x = 72,000
x = 1500 units
We can verify by using our first formula we've already determined, using this new value for units.
(1,500* 80) - (1,500 * 32) - 72,000 = ?
120,000 - 48,000 - 72,000 = 0? True!
Question 2: If they increase their expenses by 16,000, what is their new break even point?
(x * 80) - (x * 32) - 72,000 - 16000 = 0.
80x - 32x - 88000 = 0
48x = 88000
x = 1833
Question 3: 10% reduction in selling price and 10% increase in sales. (Assuming based off the original formula the problem provided.)
Original: (2,000 * 80) - (2,000 * 32) - 72,000 = ?
10% Reduction in price: 8
80-8 = 72
10% increase in sales: 200
2000 + 200 = 2200
Plugin to our formula:
(2200 * 72) - (2200 * 32) - 72,000 = ?
158400 - 70400 - 72,000 = 16,000
Since this number is positive, this is income. (D)
Use this formula:
A= P(1+rt),
A is the final investment amount (4424.50x10)
P is the principal amount (25,000)
r is the rate of interest (annual)
t is the time period (10)
If A= P(1+rt),
then (1+rt) = A/P.
(1+r(10)=( 44,245)/25,000
10r=1.7698-1
r=.7698/10
<span>r=.07698 or 7.698%</span>
