Answer:
The work can only be delayed for 13 days
Step-by-step explanation:
The construction company will be penalized $4500 for delaying the project for the first day after that day the amount will increase by $12000 for each day. The company can only afford to pay $155000 towards the penalty.
Using arithmetic progression,
a = 4500
d = common difference = 12000
nth term = 155000
n = number of days
a + (n - 1)d = 155000
4500 + (n - 1)12000 = 155000
4500 + 12000n - 12000 = 155000
12000n - 7500 = 155000
12000n = 162500
divide both side by 12000
n = 162500/12000
n = 13.5416666667
n = 13.5
The work can only be delayed for 13 days
