d. Suppose the cost function for x units of a commodity is given by C (x) = 81000 + 200x + 6x³7² dollars. Suppose the average cost is given by A(x) = C(x)/x. Find the production level that will minimize the average cost, and find the minimum average cost.
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.
Solve the following word problem. Use a first or second derivative test to verify the answer if applicable.
![d. Suppose the cost function for x units of a commodity is given by
C(x) = 81000 + 200x + 6x³7² dollars. Suppose the average cost is given by
A(x) = C(x)/x. Find the production level that will minimize the average cost, and find the
minimum average cost.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe650e83f-cec6-4962-a270-4b2daccbf6fb%2Fbe8b01fb-399e-4b2b-abc3-e5331426f9c5%2Fazcxpc_processed.png&w=3840&q=75)
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