Mamma Temte bakes six pies a day that cost $2 each to produce. On 31% of the days she sells only two pies. On 39% of the days, she sells 4 pies, and on the remaining 30% of the days, she sells all six pies. If Mama Temte sells her pies for $5 each, what is her expected profit for a dayʹs worth of pies? [Assume that any leftover pies are given away.]
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- Consider a hardware supply warehouse that is contractually obligated to deliver 1000units a specialized fastener to a local manufaturing company each week. Each time thewarehouse places an order for these items from its supplier, an ordering and transporationfee off $20 is charged to the warehouse. The warehouse pays $1.00 for each fastener andcharges the local firm $5.00 for each fastener. Annual holding cosst iss 25% off inventoryvalue, or $0.25 per year. The warehouse manager would like to know how much to orderwhen inventory gets to zero.Assume that the warehouse works 50 weeks/year.Annie bought one dozen smartphones for P200,000.00 with a discount of 5%. She sold halfdozen at a price of P18,000.00 per unit. However, a new model of smartphone became availablein the market, so she sold the remaining half dozen @ P12,000.00 each unit. What was her profitor loss?Jane Nursery grows pink and peach roses in her 100 by100 foot garden. She then sells it at the local farmers'market. Two month ago, she was able to produce andsell 12,000 buds of roses. Last month, she tried a newfertilizer that promised a 50% increase in yield. Sheharvested 1,980 buds of roses. Did the fertilizer live up toits promise?
- The best quantity to order One of the formulas for inventorymanagement says that the average weekly cost of ordering, payingfor, and holding merchandise iswhere q is the quantity you order when things run low (shoes,TVs, brooms, or whatever the item might be); k is the cost ofplacing an order (the same, no matter how often you order); c isthe cost of one item (a constant); m is the number of items soldeach week (a constant); and h is the weekly holding cost per item(a constant that takes into account things such as space, utilities,insurance, and security). Find dA>dq and d2A>dq2.I Carry rents trucks for moving and hauling. Each truck costs the company anaverage of $8,000, and the inventory of trucks varies monthly depending on thenumber that are rented out. During the first eight months of last year, I Carry hadthe following ending inventory of trucks on hand:Month Number of Trucks Month Number of TrucksJanuary 26 May 13February 38 June 9March 31 July 16April 22 August 5I Carry uses a 20 percent annual interest rate to represent the cost of capital.Yearly costs of storage amount to 3 percent of the value of each truck, and the costof liability insurance is 2 percent.a. Determine the total handling cost incurred by I Carry during the period Januaryto August. Assume for the purposes of your calculation that the holding costincurred in a month is proportional to the inventory on hand at the end of themonth.b. Assuming that these eight months are representative, estimate the average annual cost of holding trucksA customer buys 1 ABC Jan 35 put for a premium of $3 and simultaneously buys 100 shares of ABC stock for $35 per share. The customer will break even when the stock is selling for what price per share at expiration?
- Your company makes hand sanitizer in two lines: Moisturizing+, and StandardSoap. On the market, Moisturizing+ retails for $175/L and StandardSoap retails for $95/L. You make the hand sanitizer by combining lotion, soap, and secret ingredient SpecialX. These ingredients are purchased from a mysterious supplier, and you can purchase at most 4000L of lotion, 5000L of soap, and 750L of SpecialX in a month. Lotion costs $25/L, soap costs $10/L, and SpecialX costs $35/L. To make 1L of Moisturizing+, you need to combine 0.5L of lotion, 0.3L of soap, and 0.2L of SpecialX. To make 1L of StandardSoap, you need to combine 0.4L of lotion, 0.55L of soap, and 0.05L of SpecialX. Your company has committed to donating 500L of StandardSoap to a local charity. Since this is a donation, you will not receive any revenue. However, the costs and purchasing limits apply to both the hand sanitizer that is sold on the market and donated to charity. You want to maximize your monthly profit. Assume that…3. Cynthia Knott’s oyster bar buys fresh Louisiana oysters for $5 per pound and sells them for $12 per pound. Any oysters not sold that day are sold to her cousin, who has a nearby grocery store, for $1 per pound. Cynthia believes that demand follows the normal distribution, with a mean of 100 pounds and a standard deviation of 15 pounds. a) What is the cost of underestimating demand for each pound? b) What is the overage cost per pound? c) How many pounds of oyster should she order each day? d) What is the stockout risk for this order size?Please do not give solution in image format thanku Deltic sells this component for 55 per unit with a 4-month delivery lead time. Assume Deltic covers all transportation and related processing until delivery. TCX’s demand forecast for the upcoming selling season (12 months) is a normal distribution with mean 13500 and standard deviation 3736,4 . TCX sells each unit, after integrating their proprietary software, for 135. Assume that TCX uses a holding cost rate of 25 %, and any leftover units can be sold for 30 on average. Due to the long lead time and high minimum order quantity required, TCX is planning on a single order from Deltic to meet their needs in the next year. How many of these components should TCX order? Calculate the resulting expected annual profits for TCX.
- A firm is faced with the attractive situation in which it canobtain immediate delivery of an item it stocks for retailsale. The firm has therefore not bothered to order the item in any systematic way. However, recently profits have beensqueezed due to increasing competitive pressures, and thefirm has retained a management consultant to study itsinventory management. The consultant has determined thatthe various costs associated with making an order for theitem stocked are approximately $70 per order. She has alsodetermined that the costs of carrying the item in inventoryamount to approximately $27 per unit per year (primarilydirect storage costs and forgone profit on investment ininventory). Demand for the item is reasonably constantover time, and the forecast is for 16,500 units per year.When an order is placed for the item, the entire order isimmediately delivered to the firm by the supplier. The firm operates 6 days a week plus a few Sundays, or approxi-mately 320 days per year.…A firm faces a demand of 40,000 units per month for one of its lines of stock. The firm’s cost of holding stock is £2 per unit of average stock per month, and it costs the firm a total of £100 every time it orders and acquires a new shipment of stock. The firm is willing to face stock-outs and the cost of such is £6 per unit of average stock-out per month. Assuming the firm attempts to minimise overall inventory-related costs, how large (approximately) will the firm allow its stock-outs to become before each new stock delivery arrives? A. 782 units B. 577 units C. 904 units D. 981 units * Explain in full detailThe Rahway, New Jersey, plant of Metalcase, a manufacturer of office furniture, produces metaldesks at a rate of 200 per month. Each desk requires 40 Phillips head metal screws purchasedfrom a supplier in North Carolina. The screws cost 3 cents each. Fixed delivery charges and costsof receiving and storing shipments of the screws amount to about $100 per shipment, independently of the size of the shipment. The firm uses a 25 percent interest rate to determineholding costs. Metalcase would like to establish a standing order with the supplier and is considering several alternatives. What standing order size should they use?