HW1_Sol

# HW1_Sol - ≥ 60(women S ≥ 0 F ≥ 9.Let Wi = number of...

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E160 Operations Research I Spring 2008 Homework #1 Solution Chapter 12 Section 12.1 3h + h 2 1. lim ---------- = lim (3 + h) = 3 h 0 h h 0 3a. x(-e -x ) + e -x (x 2 + 1)(2x) -x 2 (2x) 3b. ---------------------- (x 2 + 1) 2 3c. 3e 3x 3d. -6/(3x + 2) 3 3e. 3x 2 /x 3 = 3/x 4. f/ x 1 = 2x 1 exp(x 2 ) f/ x 2 = x 1 2 exp(x 2 ) f 2 / x 1 x 2 = f 2 / x 2 x 1 = 2x 1 exp(x 2 ) = 2 f/ 2 x 1 = 2exp(x 2 ), 2 f/ 2 x 2 = x 1 2 exp(x 2 ) 5. ln(1+h)= ln(1) + h – h^2/2 + (1/p^3)h^3/3 For some 1<p<1+h. Section 12.2 1. Let S = soap opera ads and F = football ads. Then we wish to min z = 50S + 100F st 5S 1/2 + 17F 1/2 40 (men) 20S 1/2 + 7F 1/2

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Unformatted text preview: ≥ 60 (women) S ≥ 0, F ≥ 9.Let Wi = number of widgets produced at plant I. max 10*(W1+W2)-20*W1^.5-40*W2^.333; s.t. W1<70; W2<70; W1+W2<120; W1>.01; W2>.01; 11. We let TIME and TEMPER be original values of variables, and T and TEMP be normalized values. variable names. max - 1.4 * T + .4 * TEMP - 2.2 * T ^ 2 - 3.2 * TEMP ^ 2 - 4.9 * T * TEMP ; s.t T = ( TIME - 90 ) / 10 ; TEMP = ( TEMPER - 150 ) / 5 ; TIME >= 60 ; TIME <= 120 ; TEMPER >= 100 ; TEMPER <= 200 ;...
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HW1_Sol - ≥ 60(women S ≥ 0 F ≥ 9.Let Wi = number of...

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