Given the following information, formulate an inventory management system. The item is demanded 50 weeks a year. Item cost $ 10.00 Standard deviation of weekly demand 25 per week
Order cost $ 250.00 Lead time 1 week
Annual holding cost (%)33 % of item cost Service probability 95 %
Annual demand 25,750
Average demand 515 per week
a. Determine the order quantity and reorder point. (Round your answers to the nearest whole number.)
Optimal order quantity units
Reorder point units
b. Determine the annual holding and order costs. (Round your answers to 2 decimal places.)
Holding cost $
Ordering cost $
c. If a price break of $50 per order was offered for purchase quantities of over 2,000, what would be the annual savings? (Round your answer to 2 decimal places.)

Abc factory produces 24,000 units. the cost sheet gives the following information: direct materials rs. 1,20,000direct labour rs. 84,000variable overheads rs. 48,000semi variable overheads rs. 28,000fixed overheads rs. 80,000total cost rs. 3,60,000presently the product is sold at rs. 20 per unit.the management proposes to increase the production by 3,000 units for sales in the foreign market . it is estimated that semi variable overheads will increase by rs. 1,000. but the product will be sold at rs. 14 per unit in the foreign market. however, no additional capital expenditure will be incurredq-1. what is present profit of the company ? q-2. what is proposed profit of the company in new market? q-3.what is suggestion for new makret proposal whether proposal accept or not

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3. saving two consumers, larry and jeff, have utility functions defined over the two periods of their lives: middle age (period zero) and retirement (period 1). they have the same income in period 0 of m dollars and they will not earn income in period 1. the interest rate they face is r. larry’s and jeff’s utility functions are as follow. = 0.5 + 0.5 and = 0.5 + 0.5 for each person is between zero and one and represents each consumer’s temporal discount econ 340: intermediate microeconomics. ben van kammen: purdue university. rate. a. write the budget constraint that applies to both jeff and larry in terms of consumption in each period and ), interest rate, and m. b. what is larry’s and what is jeff’s marginal rate of intertemporal substitution? c. what is the slope of the budget constraint? d. write each consumer’s condition for lifetime utility maximization. e. re-arrange the conditions from part (d) to solve for the ratio, . f. if > which consumer will save more of his middle age income? g. if > 1 1+ , in which period will larry consume more: = 0 or = 1?