ABC Inc. has developed the following equations relating the selling price, quantity sold and cost to produce their products: the per unit selling price, P = $35 – 0.02Q; and the total cost to produce and sell Q units per year, C = $4Q + $8,000 Where Q is the quantity of products sold per year, determine: Production that yields maximum revenue. What is the associated profit? (5 points) Production that yields maximum profit. What is this profit? (3 points)    Hint: to maximize a function, set its first derivative equal to zero and solve for the control variable.

A construction company is preparing to bid on a new project. The estimating team estimated material, labor, and equipment costs at $500,000, $300,000, and $200,000, respectively. The site and office overhead costs are expected to be $100,000. Eventually, the company submitted a $1,000,000 bid for this project. Answer the following questions: Important Notes: You may use the same answer multiple times. Values between parentheses are negative dollar amounts.

Which substance is reduced in this redox equation? ​ HF + Cl2 → F2 + HCl

Which of these substances is a base?

Which of these are properties of bases? I. They are sour in taste. II. They turn red litmus paper blue. III. They dissolve many metals. IV. They feel slippery.

Which of these factors does not affect the melting point of a substance?

Which of these substances is an acid?

Which of these are oxidation-reduction reactions? I. 3H2 + N2 → 2NH3 II. Cu2O + C → 2Cu + CO III. Fe2O3 + 3CO → 2Fe + CO2 IV. 2K + Br2 → 2KBr

Which of these statements about liquids is/are correct? I. Increased molecular motion results in increased rate of evaporation. II. Liquids take the shape of their container. III. Liquids have relatively low compressibility compared to gases.

Which substance is reduced in this redox equation? ​ HF + Cl2 → F2 + HCl