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)
Answer:
Transformational leadership style.
Explanation:
Transformational leadership creates positive change in the people and environment being led, and seeks to empower followers to better themselves and ultimately become leaders too.
This problem is actually under the subject of Mathematics, particularly, Algebra. For work problems, you can use a convenient technique of dimensional analysis. This is done by multiplying units of measurement, then cancelling out like terms in order to come up with the units of the final answer. For this problem, the total amount of liters is 2,100. So, the equation would be
Volume of Kelly's family + Volume of Stewart's family = 2,100
However, we are only given the rates for each family in liters per hour. To come up with the final answer with a unit of measurement in Liters, we must multiple the rate of L/hour with the individual time. Let x be the time Kelly's sprinkler was used, and y for Stewart's family.
(20 L/h)(x hours) + (40 L/h)(y hours) = 2,100
This is the first equation. The second equation is the total time.
x + y = 65 hours
Rearranging the equation, y = 65 - x. Let's substitute this to the first equation.
20x + 40(65-x) = 2,100
Solving for x, then substituting it to the second equation to obtain y,
x = 25 hours
25 + y = 65
y = 40 hours.
Thus, Kelly's sprinkler was used for 25 hours, while Stewart's sprinkler was used for 40 hours.
Answer:
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