Calculus & Vectors (MCV4U) · Curve Sketching Optimization

Optimization Problems - Real-World Applications

30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.

Start the 30 questions Curriculum: MCV4U-CSO.6

Sample: the first question, solved

"Profit is P(x)=−2x²+80x−300. Find the production level maximizing profit."

📘 Worked solution
P'(x)=−4x+80=0 gives x = 20 units.

And one from the hard end

"A city builds a rectangular park against a river (no fence needed there) using 800m of fencing for the other 3 sides plus an internal divider parallel to the river. Find the dimensions maximizing area."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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