The magic (was it magic, really?) of the Black Friday Sale is over. Everyone sleeps in now, or shops online. Covid has taken its toll... No one breaks down the door at 4 am to get to the doorbuster deals. But there are still deals to be had, and there is a point in the day when the rate of sales is at its maximum. If the store opens at 8 am, S represents sales after the doors open, and t represents every hour after 8 am when the doors open, find the time of day during its morning sales when the rate of sales is at its maximum. In other words, find the point of diminishing returns. Make sure to graph the original function, with 0 < t < 4 hours. Mark the point of diminishing returns on the graph, and LABEL your axes with maxima and minima to show scale. s(t) = -4t^3+24t^2+50
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
The magic (was it magic, really?) of the Black Friday Sale is over. Everyone sleeps in now, or shops online. Covid has taken its toll... No one breaks down the door at 4 am to get to the doorbuster deals. But there are still deals to be had, and there is a point in the day when the rate of sales is at its maximum. If the store opens at 8 am, S represents sales after the doors open, and t represents every hour after 8 am when the doors open, find the time of day during its morning sales when the rate of sales is at its maximum. In other words, find the point of diminishing returns. Make sure to graph the original function, with 0 < t < 4 hours. Mark the point of diminishing returns on the graph, and LABEL your axes with
s(t) = -4t^3+24t^2+50
What time of day is the rate of sales at its maximum?
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