Q2 The demand for product is 6000 unit per year and the items are withdrawn uniformly. The order cost is 1000$, the inventory holding cost is 6$ per item per year, assuming shortages cost 12$, find the following: 1. The Economic order quantity. 2. Maximum Inventory. 3. Shortage quantity. 4. Frequency.
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- Since most consumers spend very little on salt, a small increase in the price of salt will:A. reduce quantity demanded by a large amountB. not reduce quantity demanded by very muchC. not change quantity demandedD. increase quantity demanded by a small amount 2.Fred is considering opening a ski shop in Colorado. Assume Fred will incur the following costs: building rent= $100000/year, inventory= $250000/ year, energy=$50000/year, and labor (one clerk) = $10000/year. In addition, Fred’s current income as a computer programmer is $40000 per year. Assuming Fred would earn $ 460000 in revenues, he could expect to earn:A. an accounting profit of $10000 per yearB. an accounting profit of $ 60000 per yearC. an economic profit of $ 10000 per yearD. an economic profit of $50000 per year 3.Suppose a firm employs only capital and labour (K and L) and its production function is Q = 2KL. If the quantities of labour and capital are fixed at K =10 and L = 25, then:A. total output cannot exceed 125B.…DrivingNowhere is producing automobile spare parts. Consider the following data to answer below given questions. Annual demand 30500 Daily demand 100 Daily production 800 Desired lot size 200 Holding cost per uit per year $10 (a) Compute the setup cost so as to comply with the desired lot size. (b) Compute the setup time if hourly setup labor cost is $40.Graw Quantity Demanded Per Quantity Supplied Per Price Per Unit Year Year $ 5 2,000 10 1,800 300 15 1,600 600 20 1,400 900 eBook 25 1,200 1,200 30 1,000 1,500 Refer to the above table. A shortage of 500 units will occur when the price is Multiple Choice $20. $10. $25 $5. S15 Mc 9 Type here to search 00
- 2. The relationship between price and demand per month for a consumer product is p = 3500 -1.1D5 where p is the price per unit in dollars and D is the demand in units. The fixed cost is $300 per month and the variable cost is $4.00 per unit. What is the optimal number of units that should be produced and sold per month? a. b. What is the maximum profit per month?Situation: Lettuces and strawberries have almost doubled in price, and the produce rep says this will likely be the case for a few months until the market can recover. What are you likely to see over the next one to two months as far as food cost?Price Price @ (c) MA MC MR ATC Quantity MC ATC D Quantity Price Price (b) MR 6 MC D Quantity MC ATC ATC D Quantity छे 110
- 12 st L8 Get & Transform Data 4 6 7 1 2 Available Product 3 8 9 10 11 12 13 A 14 15 16 17 18 19 20 All :X ✓ fx B Pounds made Workbook Links Queries & Connections 3000 Flour (ounce) 1500 Egg (piece) 4500 Labor (man-hour) Unit Price Variable Cost Demand UCM Adiucted C 3.2 1.5 6 D $12.50 $6.50 960 $6.00 2.6 1.5 5 Data Types $11.00 $5.70 928 $5.30 E 1.5 1 4 <1 $9.00 $3.60 1041 $5.40 F 0 0 0 0 Banana Muffin Choc Muffin Banana Cookies Choc Cookies Milk Bread White Bread 0.7 0.3 0.5 0 2.5 1.5 $6.00 $3.00 $2.20 $1.20 1084 1055 $3.80 $1.80 AV 0 0.8 1 3 G $7.00 $2.80 977 $4.20 Sort & Filter H Advanced 0The demand for q units of a product depends on the price p (in dollars) according to 512 P q= - 1, for p > 0. Find and explain the meaning of the instantaneous rate of change of demand with respect to price when the price is as follows. (a) $16 (b) $64 Interpret the instantaneous rate of change. O If price decreases by the absolute value of this amount, the demand will drop by 1 unit. O If price increases by $1, the demand will increase by the absolute value of this number of units. If price decreases by $1, the demand will drop by the absolute value of this number of units. If price increases by the absolute value of this amount, the demand will drop by 1 unit. If price increases by $1, the demand will drop by the absolute value of this number of units. Interpret the instantaneous rate of change. O If price decreases by the absolute value of this amount, the demand will drop by 1 unit. O If price increases by $1, the demand will increase by the absolute value of this number of units.…1. The cost function for a commodity is given by C(x) - 200+12x+0.1x² (S) and the demand funct is p-300-0.02x ($/unit) where x- quantity (demanded and produced). (a) What is the profit function for this commodity? (b) Find the marginal profit function. (c) What is the marginal profit when x-10?! (d) What does this marginal profit tell you? (e) Find the level of demand at which profit is a maximum. Show how you do this using calculus. (1) What is the maximum profit, and what is the selling price that realizes this profit? Ans: R(x)-300x-0.02x², P(x)=-0.12x² +288x-200, P'(10) - 285.6 (S), approximate increase in profit from selling one more unit when sales are at 10 units, solving P'(x)-0 gives max at unit. x-1200 units, max profit - $172,600, price = 300-0.02(1200)-$276 per
- PRICE (Dollars per pound) 10 9 8 7 2 1 0 0 Y X Demand 10 20 30 40 50 60 70 80 QUANTITY (Thousands of pounds of apples) 90 100 (?)1. A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price-demand relationship for this product is P= -0.25D + 250, where P is the unit sales price of the product and D is the annual demand. • Total cost = Fixed cost + Variable cost • Revenue = Demand * Price • Profit = Revenue – Total cost 1.1. Develop the equations for total cost and total revenue. 1.2. Find the breakeven quantity.6. A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $5,000. The price-demand relationship for this product is P = -0.2D + 220, where P is the unit sales price of the product and D is the annual demand. Find the breakeven quantity. Total cost = Fixed cost + Variable cost Revenue = Demand x Price Profit = Revenue - Total cost