A company manufactures x units of product A and y units of product B, on two machines, I and II. It has been determined that the company will realize a profit of $4 on each unit of product A and $4 on each unit of product B. To manufacture a unit of product A requires 5 min on machine I and 4 min on machine II. To manufacture a unit of product B requires 9 min on machine I and 5 min on machine II. There are 100 min available on machine I and 80 min available on machine II in each work shift.

How many units of a product should be produced in each shift to maximize the company's profit ?

Machine 1: 11 units of A and 5 units of B should be produced.

Machine II: 15 units of A and 4 units of B should be produced.

Explanation:

To maximize the company's profit, the products that requires lesser time to produce should be produced in more quantity since the profit of both products are the same.

Machine 1:

Available time = 100 min

Each unit of A requires 5 min to produce

11 units of A would require = 11×5 = 55 units

Each unit of B requires 9 min to produce

5 units of B would require 5×9 = 45 min

Total time taken = 55 min + 45 min = 100 min = available time

Machine II:

Available time = 80 min

Each unit of A requires 4 min to produce

15 units of A would require 15×4 = 60 min

Each unit of B requires 5 min to produce

4 units of B would require = 5×4 = 20 min

Total time taken = 60 min + 20 min = 80 min = available time

steering wheels are always situated on the left side of the car.

always drive on the right side of the road.

white lines separate lanes of traffic traveling the same direction.

hashed or broken lines means you may change lanes when it is safe.

solid white lines mean stay in your lane.

yellow lines separate traffic moving in opposing directions.

hashed or broken yellow lines mean you can carefully pass, paying attention to oncoming traffic.

never cross a solid yellow line (or double yellow line).

when turning left at an intersection, pass in front of any cars that are turning left from the opposing direction (do not try to pass behind them).

use the left lane to pass other cars traveling your direction.

do not pass in the right lane unless absolutely necessary.

if you are driving in the far left hand lane and someone would like to pass you, move over to the right lane when it is safe to do so and allow them to pass.

you must always yield to pedestrians.

come to a complete stop whenever you see pedestrians trying to cross the street.

never pass a school bus if it has flashing red lights. wait until the lights have stopped.

be aware of bicyclists. often they share the road with cars and are supposed to also follow general traffic laws.

be particularly careful about driving in cities with bike lanes -- always check before turning that a bike is not coming.

it is mandatory to pull over or stop at an intersection to allow an emergency vehicle to pass you if you see one traveling with lights flashing and/or a siren running.

do not overuse your car horn. horns are used almost exclusively for emergency situations or for when you feel unsafe.

explanation:

answer; sensory adaptation;