A company makes a single product on two separate production lines, A and B.

I have one last work problem where my solution just doesn't to be correct Set up the objective function and constraints and then solve for the following: A company makes a single product on two separate production lines, A and B. The company's labor force is equivalent to 1,000 hours per week, and it has $3,000 outlay weekly for operating costs. It takes 1 hour and 4 hours to produce a single item on lines A and B, respectively. The cost of producing a single item on A is $5 and on B is $4. How many items should be produced on each line to maximize the total output?

Logic Truth Tables

1. Determine the truth table for the following logic ciruits (see attachment) 2. Design a combination logic circuit to control segment "a" of the 7-segment calculator display.

rates of change

1.) suppose a car starts from a stop sign and moves along a straight road. Assume the distance travled in t seconds is given by s (t) + t^2 = 3t. a.) How far has the car traveled after 5 seconds? [ find s(5) ] b.) The speed of the car at exactly 10 seconds after "flooring it", can be estimated by finding the avrage speed over shorter and shorter time intervals. THis speed can be found by finding the derivative of the function s(t). Find the speed at exactly 10 seconds after leaving the stop sign. [ Find s'(10) ] 2.) THe distance in feet Mr. Nibble, a well known mouse form this area, was from the starting point of the maze is given by s(t) = 2t^2 - 5t + 40, where t is time in... click for more

Rates of Change two

3.) Acompany 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, the cost increased at the ratte of _______ per case when the production increased from 1 to 5 cases. b.) Find the instantaneous rate of change of cost with respect to the number of cases produced when just one case is produced. [ review ex. 2b] when 1 cases is manufactured , in the cost is ___________ at the rate of ______ per case . (marginal cost) c.) Find... click for more

Rate of change three

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.) Find the number of bacteria present after 5 hours. c.) Find the growth rate when t = 5 This means that at t = 5, there are ________ bacteria present, and the colony is growing at the rate of _______ per hour.