solve the mathematical problems:

দুইটি বোতলে এসিড এবং পানির অনুপাত যথাক্রমে ২ঃ৩ এবং ১৪২। বোতল দুইটি থেকে ১:৩ অনুপাতে মিশ্রণ নিয়ে নতুন মিশ্রণ নিয়ে তৈরি করলে তাতে এসিড ও পানির অনুপাত কত হবে?

Mathematics

a, b and care positive integers. If b equals the square root of a, and if c equals the sum of a and b, what could be the value of c?

Differentiate financial and economic costs with suitable example. The total revenue (TR) and Average Cost (AC) functions of a firm are given by $$\begin{gathered} TR=4350Q-13Q^2 \\ AC=Q^2-5.5Q +150+675Q^2 \end{gathered}$$ Where Q refers to quantity of output. Find the profit maximizing level of output and maximum profit.

Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

Find the equilibrium output,

Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

What are the tax revenue at equilibrium output? Does the government have a balanced budget?

Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

Find the equilibrium output when investment increases from $70 to $90.