Tangent and revenue world problem help

Question

1.) write the tangent line to graph of y=(6x^2-6x+3)(1+2x)

2.) suppose the revenue in dollars from the sale of X units of a product is given by r(x)= 40x^2+45x/2x+2. Find the marginal rev when 45 units are sold.

also interpret the result, when 45 units are sold, the projected from the sale of unit 46 would be….?

3.) a travel agency will plan a group tour of groups of size 20 or larger. If the group contains exactly 20 people the cost is $210 per person. If each persons cost is reduced by $10 for each additional person above the 20 then the revenue is given by the equations shown below where x is the number of people above 20. Find the marginal rev of 20

people if group contains 25 people.

Interpret the result: -the revenue increased by one dollar if the group at the absolute value of the marginal revenue number of people. -the revenue will decrease by one dollar if the group is the absolute value of the marginal revenue number of people. -the revenue will increase by the absolute value of the marginal revenue and dollars if the group add one more person. -the revenue will decrease by the absolute value of the marginal revenue and dollars if the group removes one person. - the revenue will decrease by the absolute value of the marginal revenue in dollars is a Group at one person. Which of these statements is correct?

Answer 1

This is thorough and involved problem, and there are missing pieces of information.

In part 1, we can't find the tangent line to "y" without knowing at what x value this is taken. Use product rule to find derivative.

Part 2 requires a calculator and the quotient rule of derivatives.

In part 3, the equation is missing, and I think you may have substituted "absulute value" for "absolute minimum" and "absolute maximum."

In any case, a long problem which I'd be happy to do for you during a session.