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ss7ja [257]
3 years ago
12

Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to th

at of only one person working full-time. If one of the people is budgeted for one-half of his time to the project and a second person for one-third of her time, what part of the third worker’s time should be budgeted to this project?
Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Answer:

  1/6

Step-by-step explanation:

Let x represent the proportion of time the third person spends on the project. You want ...

  1/2 + 1/3 + x = 1 . . . . full-time equivalents

  5/6 + x = 1 . . . . simplify

  x = 1/6 . . . . . . . subtract 5/6

The third person should budget 1/6 of their time to the project.

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MANUFACTURING
Margaret [11]

Answer:

Total cost is $205328

Step-by-step explanation:

Given data:

cost C(q) = 0.1 q^3 - 0.5 q^2 + 500 q + 200

current units q = 4 ( 4000 units )

The current level of production is 4000 ( 4 )units, and manufacturer is planning to upgrade this to 4100 ( 4.1 ) units

C'(q) = 3 * 0.1 q^2 - 2 * 0.5 q + 500

C'(q) = 0.3 q2 - q + 500

C(4.1) - C(4) ≈ C’(4) x Δq

≈ C’(4) x 0.1

≈ ( 0.3 * 4^2 - 4 + 500 ) x 0.1

≈    (  0.3 * 16 - 4 + 500 ) x 0.1

≈    500.8 x 0.1 ≈      50.08

total cost = 4100 x   50.08 = $205328

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