What is the maximum value of the objective function, p, with the given constraints?
p=25x+45y
4x+y≤16
x+y≤10
x≥0
y≥0
a. 100
b. 410
c 450
d. 720

C. 450

Step-by-step explanation:

Plot the solution area for the system of four inequalities

You'll get the quadrilateral with vertices at points (0,0), (0,10), (2,8) and (4,0).

The maximum value of the function can be at vertices, so

The maximum value of the function is 450 at point (0,10)

Answer:

$4034.40

step-by-step explanation:

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

Planet earth has a mass of 5.9726x10²⁴ kg.then: 5.9726x10²⁴ kg=100% of the total earth mass.if the water´s mass=5x10-4 % of the total mass, we can solve this problem by the rule of three.5.9726x10²⁴ %*10⁻⁴ %x=(5.9726x10²³ kg)(5*10⁻⁴  %) / 100 %=2.9863x10¹⁹ kganswer:   the mass of the planet´s water would be   2.9863 x 10¹⁹ kg.