Answer:
The marginal utility of chili must be 28.57 for the consumer to maximize total utility.
Explanation:
The marginal utility of chili at which the consumer maximizes total utility can be calculated as follows:
Let:
CCHIP = Cost of a bag of chips = $1.75
MUCHIP = Marginal utility of a bag of chips = 20
CCHILI = Cost of a cup of chili = $2.50
MUCHILI = Marginal utility of a cup of Chili = ?
The condition for the utility maximization of the consumer is as follows:
MUCHIP / CCHIP = MUCHILI / CCHILI ……………………………. (1)
Substituting all the relevant values into equation (1) and solve for MUCHILI, we have:
20 / 1.75 = MUCHILI / 2.50
(20 / 1.75) * 2.50 = MUCHILI
MUCHILI = 28.57
Therefore, the marginal utility of chili must be 28.57 for the consumer to maximize total utility.
It must sanitized. However it is a better practice to use a different cutting board.
Answer:
t = 4.607742347 years rounded off to 4.61 years
Explanation:
To calculate the number of years it will take an investment of $3500 to grow to $5900 at an annual interest rate of 12%, we will use the formula for the future value of cash flows. The formula can be written as follows,
Future value = Present value * (1+i)^t
Where,
- i is the interest rate
- t is the time in years
Plugging in the values for future value, present value and i, we can calculate the t to be,
5900 = 3500 * (1+0.12)^t
5900 / 3500 = (1.12)^t
1.685714286 = 1.12^t
Taking log on both sides.
Ln(1.685714286) / Ln(1.12) = t
t = 4.607742347 years rounded off to 4.61 years
