Rates of Change : Cost and Marginal Cost

3.) A company determines that the cost in dollars to the manufacture x cases of the dvd "math caught in embarrassing moments" is given by C(x) = 100 + 15x - x^2, (0< or = x < or = 7) a.) Find the average rate of change of the cost per case for the manufacturing between 1 and 5 cases [ review ex. 2a] So on the average, ...continues

Rate of Change : Exponential Growth

4.) Ever wonder why bacteria are so hard to contain ? A certain coloney of bacteria has an initinal population of 10,000. After t hours, the coloney has grown to a number P(t) given by P(t) = 10000(1+.86t + t^2). a.) Find the growth rate (rate of change) of the population P with respect to time t. [FInd P'(t)] b.) Fi ...continues

Rate of Change and Instantaneous Rate of Change

The effectiveness of E (on a scale from 0-1) of a pain killing drug t hours after entering the bloodstream is given by E= 1/27(9t+3t^2-t^3) o< or = t < or = to 4.5 Find the average rate of change E on the indicated intervals and compare this rate with the instantaneous rates of change at the end points of the intervals a.) [ ...continues

Motion Under Gravity

The height s (in feet) at the time t (in seconds) of a silver dollar dropped from the top of the Washington monument is s=-16t+555 a.) Find the average velocity on the interval [2,3] b.) FInd the instantaneous velocity when t=2 and when t=3 c.) how long will it take the dollar to hit the ground? d.) Find the velo ...continues

Linear programming problem

1. Solve the linear programming problem: minimize z = x + y subject to x + 2y =< 40, 2x + y =<40, x + y =<10, x >= 0, y >=0 The corner points are: (0, 10), (0, 20), (40/3, 40/3) (20, 0), (10, 0).

Logic problem

Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value for the following: p^(~q) p^q^r p^(qVr) ~(p^q) (~p)V(~q)

set problem

If U = {a,b,c,d,e,f} A = {a,b} B = {-1, 0, 11} Find A' Find B' Find (A U B)' Find (A ∩ B)

Simplex Method problem

I'm having problems solving this one: Use the Simplex Method. Maximize P = 2x1 + 8x2 + 10x3 +x4 Subject to the constraints x1 + 2x2 + x3 +x4  50 3x1 + x2 + 2x3 +x4  100 x1 >0, x2 >0, x3 >0, x4 >0

method incorporating the duality

Minimize C = 4x1 + 2x2 Subject to the constraints x1 + 2x2 >4 x1 + 4x2 >6 x1 >0, x2 >0 Use the method incorporating the duality.

maximum profit

A brewery manufactures 3 types of beer ---lite, regular and dark. Each vat of lite beer requires 6 bags of barley, 1 bag of sugar, and 1 bag of hops. Each vat of regular beer requires 4 bags of barley, 3 bags of sugar, and 1 bag of hops. Each vat of dark beer requires 2 bags of barley, 2 bags of sugar, and 4 bags of hops. Eac ...continues