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Just-in-Case Company sells storage boxes. Its super-saver box has a demand function of q = - 180p + 16,550. If the revenue formula is R = pq and the price per super-saver box is $ 23, what is the total revenue?

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Final answer:

The total revenue for Just-in-Case Company when the price per super-saver box is $23 is calculated using the revenue formula R = pq, which results in $285,430.

Step-by-step explanation:

The demand function for the super-saver box is given as q = - 180p + 16,550, where q represents the quantity demanded and p represents the price. To calculate the total revenue, we use the formula R = pq, where R is the total revenue. Given that the price per super-saver box is $23, we substitute p = 23 into the demand function to find the quantity demanded: q = - 180(23) + 16,550. Solving this equation, we get q = 11,330. Therefore, the total revenue will be the product of the price and the quantity demanded: R = 23 * 11,330 = $260,990.

The total revenue for Just-in-Case Company when the price per super-saver box is $23 can be calculated by inserting the given price into the demand function to find the quantity demanded and then using the revenue formula R = pq, where p is the price and q is the quantity.

First, we find the quantity demanded: q = -180p + 16,550. Plugging in the price:

q = -180(23) + 16,550

q = -4140 + 16,550

q = 12,410

Now, we can calculate the total revenue using the formula: R = pq.

R = 23 * 12,410

R = $285,430

So, the total revenue when the price is $23 is $285,430.

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