Other Problem Solutions: Expert Help and Step-by-Step Explanation

The company manufactures two products, A and B, with a profit of $9 and $7. Each unit of product must be processed on two assembly lines where the required production times are a follows:

$\begin{array}{|ccc|}\hline \text{Product}& \text{Line 1}& \text{Line 2}\\ A& 12& 4\\ \text{Total hours}& 60& 40\\ \hline\end{array}$

a. formulate a linear programming model to determine the optimal product mix that will maximize profit

b. rewrite this model into standard form

c. identify the amount of unused resources(i.e., slack)at each of the graphical extreme points.

d. what would be the effect on the optimal if the production time on line 1 were reduced to 40 hours.

c. What would be the effect on the optimal solution if the profit for product B were increased from $7 to $15? To$20?

Assume you are holding a 2 kg in each of your outstretched hands while seated on a revolving stool. Will your angular velocity change, stay the same, or increase if you suddenly drop the masses? 

A rubber ball of mass m is dropped from a cliff. As theball falls. it is subject to air drag (a resistive force caused bythe air). The drag force on the ball has magnitude $b{v}^2$, where b is a canstant drag coefficient andv is the instantaneous speed of the ball. The dragcoefficient b is directly proportional to the cross-sectional areaof the ball and the density of the air and does not depend on themass of the ball. As the ball falls, its speedapproaches a constant value called the terminal speed.
a. Write, but do Not solve, a differentialequation for the instantaneous speed v of the ball in terms of timet, the given quantities quantities, and fundamentalconstants.
b. Determine the terminal speed vt interms of the given quantities and fundamental constants.
c. Detemine the energy dissipated by the dragforce during the fall if the ball is released at height h andreaches its reminal speed before hitting the ground, in terms ofthe given quantities and fundamental constants.

A bottle weighs 35.00 g when it is empty and 98.44 g when it is full of water. The mass is 88.78 g when another fluid is added. What is this other fluid's specific gravity?

A 1000-V battery, a 3000-Om resistor, and a 0.50-${\displaystyle \mu }$ F capacitor are connected in series with a switch. The capacitor is initally uncharged. What is the value of the current the instat after the switch is closed?