Answer:
Price per television =38.30
Step-by-step explanation:
Number of units sold in one week =230-3x
Price of one unit =x
Total money produced in one week =x(230 - 3x)
(Here it doesn't matter total money is taken for a week or day because after differentiating and equating to zero that factor disappear )
Differentiate total amount with respect to x.
Now equate it equal to zero to get extremum.
230-6x=0
Then, x = 38.30
Answer:
149.30ft
Step-by-step explanation:
Since the vertical distance between the two tower = 40ft
The angle of elevation from the lower tower to te higher tower = 15°
The horizontal distance between the two towers = x
Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.
Check attached document for better illustration of the triangle.
Tanθ = opposite / adjacent
Opposite = 40
θ = 15°
Adjacent = x
Tan15 = 40 / x
0.2679 = 40 / x
X = 40 / 0.2679
X = 149.30ft
The horizontal distance between the two towers is 149.30ft
