Abusinesses account has defined its cost and revenue equations as follows cost: y=0.4×+1260revenue: y=0.55×write a system of linear inequalities to define the profit regions

We know that for the business, the cost is represented by:

Cost: y = 0.4x + 1,260

And the revenue is represented by:

Revenue: y = 0.55x

We have to find the inequality for Profit

Profit = Revenue - Cost

⇒ Profit = 0.55x  - (0.4x + 1,260)

⇒ Profit = 0.15x  - 1,260

Hence, the equation that represents profit is 0.15x  - 1,260

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950