Which of the following elementsindicatesa resource restriction in a mathematical model?

1.a parameter.

2.an objective function.

3.a constraint.

4.data

5.a decision variable.

A student got a$5000grant per quarter and the opportunity to work on campus at a rate of$12per hour,but nomore than15hours per week.The quarter last10weeks.The student aid office charges5%of handling fees and the state has an8%income tax.

If E is 'earnings at the end of the quarter,' H is 'hours of work per week,' the model that calculates the income of the student at the end of the quarter is

1.E=5000*(1-0.05)+12*H*(1-0.08)

2.E=5000*(1-0.05)+10*12*H*(1-0.08)

3.E=5000*(1-0.05)+12*H*(1-0.08)

H<=15[this reads:H less or equal to15]

4.E=5000*(1-0.05)+10*12*H*(1-0.08)

H<=15[this reads:H less or equal to15]

Find the Break-Even point for the following problem:

Cost Function: C[x]=2340 + 2.2 [x]

Revenue Function R[x] = 2.1 [x]

Profit = R[x] - C[x]

x=?

1. 1800

2.1750

3.1567

4.Not possible to find the break-even point.

please