Please select a subject first
Advertisements
Advertisements
Solve the following problem of sequencing for minimizing the total elapsed time and idle time for both the machines.
| Job | P | Q | R | S | T | U |
| M1 | 1 | 4 | 6 | 3 | 5 | 2 |
| M2 | 3 | 6 | 8 | 8 | 1 | 5 |
The optimal sequence of the jobs as follows:
Total elasped time is obtained as follows:
| Job sequence |
Machine A | Machine B | Idle time for Machine B |
||
| Time In |
Time Out |
Time In |
Time Out |
||
| P | `square` | 1 | 1 | `square` | `square` |
| U | `square` | 3 | 4 | `square` | `square` |
| S | `square` | 6 | 9 | `square` | `square` |
| Q | `square` | 10 | 17 | `square` | `square` |
| R | `square` | 16 | 23 | `square` | `square` |
| T | `square` | 21 | 31 | `square` | `square` |
Total elapsed time T = `square` minutes
Idle time for Machine A = T – `square` = `square` minutes
Idle time for Machine B = `square`
Concept: undefined >> undefined
Complete the following activity to find MPC, MPS, APC and APS, if the expenditure Ec of a person with income I is given as:
Ec = (0.0003)I2 + (0.075)I2
when I = 1000
Concept: undefined >> undefined
Advertisements
If elasticity of demand η = 0 then demand is ______.
Concept: undefined >> undefined
If f(x) = x3 – 3x2 + 3x – 100, x ∈ R then f"(x) is ______.
Concept: undefined >> undefined
If 0 < η < 1 then the demand is ______.
Concept: undefined >> undefined
Evaluate`int(5x^2-6x+3)/(2x-3)dx`
Concept: undefined >> undefined
In a factory, for production of Q articles, standing charges are ₹500, labour charges are ₹700 and processing charges are 50Q. The price of an article is 1700 - 3Q. Complete the following activity to find the values of Q for which the profit is increasing.
Solution: Let C be the cost of production of Q articles.
Then C = standing charges + labour charges + processing charges
∴ C = `square`
Revenue R = P·Q = (1700 - 3Q)Q = 1700Q- 3Q2
Profit `pi = R - C = square`
Differentiating w.r.t. Q, we get
`(dpi)/(dQ) = square`
If profit is increasing , then `(dpi)/(dQ) >0`
∴ `Q < square`
Hence, profit is increasing for `Q < square`
Concept: undefined >> undefined
Following table shows the all India infant mortality rates (per '000) for years 1980 to 2010:
| Year | 1980 | 1985 | 1990 | 1995 | 2000 | 2005 | 2010 |
| IMR | 10 | 7 | 5 | 4 | 3 | 1 | 0 |
Fit the trend line to the above data by the method of least squares.
Concept: undefined >> undefined
Evaluate.
`int (5x^2 - 6x + 3) / (2x -3) dx`
Concept: undefined >> undefined
Evaluate.
`int (5x^2 - 6x + 3)/(2x - 3)dx`
Concept: undefined >> undefined
The negation of p ∧ (q → r) is ______________.
Concept: undefined >> undefined
find dy/dx if x=e2t , y=`e^sqrtt`
Concept: undefined >> undefined
The equations given of the two regression lines are 2x + 3y - 6 = 0 and 5x + 7y - 12 = 0.
Find:
(a) Correlation coefficient
(b) `sigma_x/sigma_y`
Concept: undefined >> undefined
Without using the truth table show that P ↔ q ≡ (p ∧ q) ∨ (~ p ∧ ~ q)
Concept: undefined >> undefined
If x=at2, y= 2at , then find dy/dx.
Concept: undefined >> undefined
If y =1 − cos θ, x = 1 − sin θ, then `dy/dx "at" θ =pi/4` is ______
Concept: undefined >> undefined
If x=a sin 2t(1+cos 2t) and y=b cos 2t(1−cos 2t), find `dy/dx `
Concept: undefined >> undefined
If x=α sin 2t (1 + cos 2t) and y=β cos 2t (1−cos 2t), show that `dy/dx=β/αtan t`
Concept: undefined >> undefined
If x = a sin 2t (1 + cos2t) and y = b cos 2t (1 – cos 2t), find the values of `dy/dx `at t = `pi/4`
Concept: undefined >> undefined
Find the value of `dy/dx " at " theta =pi/4 if x=ae^theta (sintheta-costheta) and y=ae^theta(sintheta+cos theta)`
Concept: undefined >> undefined
