Question

Solve the question in attachment with complete explanation​

Answer 1

$\bigstar \: \bf\underline{\underline{Question: }}$

A company manufactures cassettes and its cost equation for a week C = 300 + 1.5x and its revenue equation is R = 2x , where x is the number of cassettes sold in a week. How many cassettes must be sold by the company to get some profit?

__________________________________

$\bigstar \: \bf\underline{\underline{Given: }}$

• Cost equation ↠ C = 300 + 1.5x
• Revenue equation ↠ R = 2x

ㅤㅤWhere :

• x = number of cassettes sold in a week.

__________________________________

$\bigstar \: \bf\underline{\underline{To \: Find: }}$

• Number of Cassettes sold by the company to get profit = ?

__________________________________

$\bigstar \: \bf\underline{\underline{Solution: }}$

❒ Formula Used :

• For profit :

$\pink⇢ \: \: \: \: \sf\small{\color{purple}{\fbox{\textsf{\textbf{Revenue > Cost}}}}}$

ㅤㅤㅤㅤ___________________________

❒ Calculating the Number of Cassettes Sold :

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ⟼ \: \: \: \: \: \: \sf{2x > 300 + 1.5x}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ⟼ \: \: \: \: \: \: \: \sf{2x - 1.5x > 300}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ⟼ \: \: \: \: \: \: \: \: \sf{(0.5x) > 300}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ⟼ \: \: \: \: \: \: \: \: \: \sf \green{x > 600 }$

ㅤㅤㅤㅤ___________________________

❒ Final Answer :

❛ The company must sell 600 cassettes to get some profit. ❜

$\bf \pink{▬▬▬▬▬▬ \green{▬▬▬▬▬▬▬▬▬▬}▬▬▬▬▬▬}$