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Advertising Cost Your company is planning to air a number of television commercials during the ABC Television Network’s presentation of the Academy Awards. ABC is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of
a. Write down the cost function C, marginal cost function
b. Compute
and
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- bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forwardGrade Point Average In many universities students are given grade points for each credit unit according to the following scale: A 4 points B 3 points C 2 points D 1 point F 0 point For example, a grade of A in a 3-unit course earns 43=12 grade points and a grade of B in a 5-unit course earns 35=15 grade points. A students grade point average GPA for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)8=3.375. a Find a formula for the GPA of a student who earns a grade of A in a units of course work, B in b units, C in c units, D in d units and F in f units. b Find the GPA of a student who has earned a grade of A in two 3-unit courses, B in one 4-unit courses and C in three 3-unit courses.arrow_forwardUsing the image attatched please find: a. determine the total cost function b. determine the marginal cost functionarrow_forward
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- The cost that vary accordingly to the volume of output is _____________. a. All the options b. Variable cost c. Fixed cost d. Both fixed and variable costsarrow_forwardThe total revenue function for a product is given by R = 540x dollars, and the total cost function for this same product is given by C = 13,500+ 60x + x², where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 24 units are produced and sold? c. What is the profit when 38 units are produced and sold? d. How many units must be sold to break even on this product? (・・・))) a. Write the profit function. P(x) = (Simplify your answer.) b. When 24 units are produced and sold, there is a of $. (Simplify your answer.) c. When 38 units are produced and sold, there is of $. a (Simplify your answer.) d. The number of units that must be sold to break even on this product is. (Simplify your answer. Use a comma to separate answers as needed.)arrow_forward
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