es customer $600VX and the cost to develop $9,000. ur ne 63. Resource Allocation Your company manufactures auto- mobile alternators, and production is partially automated through the use of robots. Daily operating costs amount to boti $100 per laborer and $16 per robot. To meet production deadlines, the company calculates that the numbers of laborers and robots must satisfy the constraint (81 xy = 10,000, where x is the number of laborers and y is the number of robots. Assuming that the company wishes to meet produc- bnn tion deadlines at a minimum cost, how many laborers and how many robots should it use? [HINT: See Example 5.] 64. Resource Allocation Your company is the largest sock man- ufacturer in the solar system, and production is automated through the use of androids and robots. Daily operating costs android and W8 per robot.19 To meet amount to W200 per 18 This is similar to the way site licenses have been structured for the program Maple. 19 Ware Neptunian Standard Solar Units of currency. 932 Chapter 12 Further Applications of the Derivative production deadlines, the company calculates that the num- br c(t) = -C o bers of androids and robots must satisfy the constraint where t xy = 1,000,000, %3D will typ where x is the number of androids and y is the number of robots. Assuming that the company wishes to meet produc- tion deadlines at a minimum cost, how many androids and how many robots should it use? [HINT: See Example 5.] day, is 70. ▼ Emb turkey throug 65. V Resource Allocation Your automobile assembly plant охyge has a Cobb-Douglas production function given by q = x04,0.6, c(t) :
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.
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