The management of a company is negotiating with a union over salary increases for the company's employees for the next 5 years. One plan under consideration gives each worker a bonus of 1200 dollars per year. The company currently employs 1055 workers and pays them an average salary of 35,000 dollars a year. It also plans to increase its workforce by 15 workers a year.

a. Construct a function C(t) that models the projected cost of this plan (in dollars) as a function of time t (in years).
I got 35000t+1200

b. What will the annual cost be in 5 years?
I plugged in 5 into t and got 176200

In the end it said both answers are wrong please help.

a. To construct the function C(t) that models the projected cost of the plan over time, we need to consider two components: the base salary cost and the bonus cost.

The base salary cost is calculated by multiplying the average salary per worker (35,000 dollars) by the number of employees. Since the company plans to increase its workforce by 15 workers each year, the number of employees after time t can be represented as (1055 + 15t).

The bonus cost per worker per year is given as 1200 dollars.

Therefore, the function C(t) can be expressed as:
C(t) = (base salary cost) + (bonus cost)
C(t) = (35000 * (1055 + 15t)) + (1200 * (1055 + 15t))
C(t) = 36775000 + 525000t + 1260000 + 18000t
C(t) = 525000t + 36775000 + 18000t + 1260000
C(t) = 543000t + 38035000

Therefore, the function that models the projected cost of this plan is C(t) = 543000t + 38035000.

b. To find the annual cost in 5 years, we need to substitute t=5 into the function C(t):
C(5) = 543000(5) + 38035000
C(5) = 2715000 + 38035000
C(5) = 40750000

Therefore, the annual cost, after 5 years, is projected to be 40,750,000 dollars.