A manufacturer estimates that its product can be produced at a total cost of C(x) = 40,000 + 100x + x3 dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 3700x dollars, determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.) Find the maximum profit. (Round your answer to the nearest dollar.)

Jamie is saving for a trip to europe. she has an existing savings account that earns 3 percent annual interest and has a current balance of $4,200. jamie doesn’t want to use her current savings for vacation, so she decides to borrow the $1,600 she needs for travel expenses. she will repay the loan in exactly one year. the annual interest rate is 6 percent. a. if jamie were to withdraw the $1,600 from her savings account to finance the trip, how much interest would she forgo? .b. if jamie borrows the $1,600 how much will she pay in interest? c. how much does the trip cost her if she borrows rather than dip into her savings?

The interaction of individual choices because a type of fish is on the verge of extinction, the government imposes rules that prohibit fishing in the publicly owned spawning grounds. at first owners of fshing bouts complain about this restriction on where they can fish, but soon they notice that the number of adult fish swimming outside the protected area is much higher than it was before. with the restriction, each fishing boat ends up catching more fish than it did before the r which of the following principles of economic interaction best describes this scenario? o there is a tradeoff between equality and efficiency o markets usually lead to efficiency. o when markets do not achieve efficiency,government intervention can improve overall welfare o markets allocate goodseffectively

The monthly demand equation for an electric utility company is estimated to be p equals 60 minus left parenthesis 10 superscript negative 5 baseline right parenthesis x, where p is measured in dollars and x is measured in thousands of killowatt-hours. the utility has fixed costs of $3 comma 000 comma 000 per month and variable costs of $32 per 1000 kilowatt-hours of electricity generated, so the cost function is upper c left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 32 x. (a) find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility's profit. (b) suppose that the rising fuel costs increase the utility's variable costs from $32 to $38, so its new cost function is upper c 1 left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 38 x. should the utility pass all this increase of $6 per thousand kilowatt-hours on to the consumers?