A professor wishes to develop a numerical method for giving grades. He intends to base the grade on$$ homework, two$$ midterms, a$$ project, and a final examination. He wishes the final exam to have the largest influence on the grade. He wants the project to have $20\%,$ each midterm to have $15\%,$ and the homework to have $10\%$ of the influence on the semester grade. Answer parts a through c below.

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Part $1$

a$.$ Determine the weights the professor should use to produce a weighted average for grading purposes.

Instrument

Final

Project

Midterm $1$

Midterm $2$

Homework

Weight

$$

enter your response here$\%$

$$

enter your response here$\%$

$$

enter your response here$\%$

$$

enter your response here$\%$

$$

enter your response here$\%$