A hat manufacturing firm has the following production function with capital and labor being the inputs: Q = min(5L,3K) (it has a fixed-proportions production function). a) If w is the cost of a unit of labor and r is the cost of a unit of capital, derive the firm’s optimal inputs, long-run total cost curve, average cost curve, and marginal cost curve in terms of the input prices and Q.
b) A firm has the linear production function Q = 2L + 7K. Derive the expression for the optimal inputs and the 1ong-run total cost that the firm incurs, as a function of Q and the factor prices, w and r

Panera bread is a chain of cafes serving sandwiches, soups, and freshly baked breads. the company began in 1981 with stores primarily located along the east coast of the united states. since then, the firm has expanded to over 1,300 locations throughout the united states and canada. the firm has strong earnings and has been designated by business week as a "significant growth company." panera bread executives are considering the idea of expanding globally by opening cafes in asia through a franchising strategy. which of the following, if true, supports the argument that panera bread should expand into asia through franchising? a: the panera bread menu changes rapidly, and each cafe's artisan bread bakers receive regular training on new recipes. b: panera bread executives want fast access to the asian market without a significant investment of capital. c: panera bread executives want to test the asian market with a short-term commitment that allows them to make quick profits. d: the panera bread mission is to make excellent bread available to customers around the world.

Tiana daniels enterprise’s trial balance as at december 31, 2016 did not balance. on february 15, 2017 the following errors were detected: errorsi. water rates had been undercast by $2, 000.  ii. a cheque paid to yvonne walch of $2, 680 had been posted to the credit side of her account.  iii. discount received total of $1, 260 had been posted to the debit side of the discount allowed account as $1, 620.  iv. rent paid in the amount of $24, 000 had been posted to the credit of the rent received account.  v. wayne returned goods valuing $1, 680 to daniels enterprise but had been completely omitted from the books.    required: 1. prepare the journal entries to correct the errors.  (narrations required)                    14.5 marks  2.    prepare the suspense account showing clearly the original trial balance error.          8 marks

You are a manager at asda. you have been given the demand data for the past 10 weeks for swim rings for children. you decide to run multiple types of forecasting methods on the data to see which gives you the best forecast. if you were to use exponential smoothing with alpha =.8, what would be your forecast for week 22? (the forecast for week 21 was 1277.) week demand 12 1317 13 1307 14 1261 15 1258 16 1267 17 1256 18 1268 19 1277 20 1277 21 1297