Question

Assigned Variable:
x will represent the number of power drills made per day.
y will represent the number of screw drivers made per day.

Number of Each Product Produced:
The company “David’s Detailing” will make at least 50 power drills in one day.
The company “David’s Detailing” will make at least 50 screw drivers in one day.
Cost of Each Product:
Screw drivers will cost $10 for a single set.
Power drills will cost $12 for a single set.

Total Production Costs:
My company cannot exceed a total production cost of $1,100 in a single day.

Answer 1

Information in a sentence:
My company will make electrical powered tools and in particularly drills and screw drivers and you may use x for power drills and y for screw drivers. My company will produce 50-100 of each of these tools within a day of the week on an average. The screw driver products will be sold for 10 dollars each, tax included. Then the power drill products will be sold for 12 dollars each, with tax included as well. We also anticipate to make about 1,100 hundred dollars a day.
System of Inequalities:
Information in the chart is based on responses to the previous three requirements.

Graph of the System of Inequalities:
View the graph that represents the system of inequalities.

Maximized Profit Combination
You must decide how much profit you could realistically make on each product. In this example we will use;
$20 for power drills
$40 for screw drivers
So the profit equation will be: 20x + 40y

Note: The shading of the graph represents all of the points which satisfy each of the three inequalities. The points of intersection represent the most extreme cases. When the x and y coordinates of these points are substituted into the profit expression (20x + 40y), the outcome will indicate the combinations of power drills and screw drivers produced that will maximize or even minimize my company’s profit. Substitution of the coordinates of each point of intersection into the profit expression to determine the profit earned with each scenario.

Points of Intersection Amount of Profit
($20x + $40y)
(50,50) 20(50) + 40(50)
1,000 + 2000
$3,000
(60, 75) 20(60) + 40(75)
1,200 + 3,000
$4,200
(65, 55) 20(65) + 40(55)
1,300 + 2,200
$3,500




If 50 power drills and 50 screw drivers are made, Company “David’s Detailing” will earn $3,000 each day.
If 60 power drills and 75 screw drivers are made, “David’s Detailing” will earn $4,200 each day.
If 65 power drills and 55 screw drivers are made, “David’s Detailing” will earn $3,500 each day.
60 power drills and 75 screw drivers should be made for “David’s Detailing” to maximize their profit. X multiplied by $12 = (when x equals 50) $600 Y multiplied by $10 =(when x is 50)) 500. 600+500=1,100

Answer 2

Please Find the three inequalities!?