so we have:
[tex]Max: 150x_{1} +250x_{2} \\\\st.\\2x_{1} +5x_{2} \leq 200\\3x_{1} +7x_{2} \leq 175\\\\x_{1} , x_{2} \geq 0[/tex]
Applying [tex]x_{1} = 10[/tex] and [tex]x_{2} = 5[/tex], we have:
[tex]150(10) + 250(5) = 1500 + 1250 = 2750[/tex]
[tex]st.\\2(10) + 5(5) = 20 + 25 = 45 \leq 200\\3(10) + 7(5) = 30 + 35 = 65 \leq 175[/tex]
Thus, the company earned 2750 in profits and uses 45 units of resource one (the first constraint) and 65 units of resource two (the second constraint) if the company produces 10 units of product 1 and 5 units of product 2.
Solution:
The company earned 2750 in profits
