Peter works at Papa's Pizza as a delivery boy making $5 per hour. He also works as a photographer for the local news paper making $10 per hour. He can work at most 35 hours this week. Peter wants to make at least $200 this week. Part A: Write a system of two inequalities to represent this scenario.

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x, y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis

Benefit(s) from large economies of scale, in which the costs of goods decrease as output increases. natural monopolles perfect competition

The coverage of a base station of a telecommunication company forms a disk with a radius of (kilometers). let be the distance of a cellphone from a base station. assume that the location of cellphones in use are randomly uniformly distributed within the disk. calculate the mean and variance for the random variable.