A firm produces scientific calculators and graphic calculators. On each day, it manufactures $x$ scientific calculators and $y$ graphic calculators. The following inequalities represent the daily numbers produced: $x < 180$, $y \leq 90$, $x + y \leq 240$.
(a)[2]
Complete the two sentences below. The company produces fewer than ______ scientific calculators per day. The company is able to make at most ______ calculators per day.
(b)[1]
Demonstrate that $2x + 3y \geq 450$.
(c)[7]
Using four appropriate lines and shading the regions that are not required, identify and label region $R$.
(d)[2]
Calculate the greatest profit the company can make in one day.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The values are $180$ and $240$.” …