The production function of a company is: q = 16 L+ 15 K - K?/5 - 2 L²/ 10 - 3 where “q" is the quantity of mobile phones produced per day, “L" is the number of employees, and “K" is the units of capital worth USD 10,000. The cost of unit capital per day is USD 20. and the average monthly salary of an employee is USD 1,200. The management wants you to find the optimal values of “q", “K" and “L" in order to maximize profit, if the unit selling price of each mobile phone is USD 100.
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 production function of a company is:
q = 16 L+ 15 K - K?/5 - 2 L²/ 10 - 3
where "q" is the quantity of mobile phones produced per day, “L" is the number of employees, and
"K" is the units of capital worth USD 10,000. The cost of unit capital per day is USD 20. and the
average monthly salary of an employee is USD 1,200. The management wants you to find the optimal
values of “q", “K" and “L" in order to maximize profit, if the unit selling price of each mobile phone is
USD 100.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14a30ae2-622b-412c-ba8c-2e78738508e1%2Fe2be7add-640a-4f23-aa14-5e1b76cdeb27%2F3xlfhxs_processed.png&w=3840&q=75)
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