Formulate this problem as a linear programming problem.
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- DJA Trucking Co. owns several truck used in hauling crushed stones from three different plants to three road projects in Pampanga. The contractor in charge of the project gives the company the ff. Projec A B C F/T X Y Z Requirement per week 150 175 140 A B P100 P200 150 175 200 500 C P75 225 125 Plants X Y Z Available per week 145 160 160 Compute for the optimal hauling schedule and the total transportation costs. (Use stepping stone and Least Cost Method (minimum entry method))List several alternatives for adjusting capacity. List severalalternatives for managing demand. The Newcoat Painting Company has for some time been experiencing high demand for its automobile repainting service. Because it has had to turn away business, management is concerned that the limited space available to store cars awaiting painting has cost them in lost revenue. A small vacant lot next to the painting facility has recently been made available for rental on a long-term basis at a cost of $10 per day. Management believes that each lost customer costs $20 in profit. Current demand is estimated to be 21 cars per day with exponential interarrival times (including those turned away), and the facility can service at an exponential rate of 24 cars per day. Cars are processed on a FCFS basis. Waiting space is now limited to 9 cars but can be increased to 20 cars with the lease of the vacant lot.Newcoat wants to determine whether the vacant lot should be leased. Management also wants to know the expected daily lost profit due to turning away customers if the lot is leased. Only…
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- Problem 12-5 (Algo) Garden Varlety Flower Shop uses 810 clay pots a month. The pots are purchased at $3.30 each. Annual carrying costs per pot are estimated to be 20 percent of cost, and ordering costs are $15 per order. The manager has been using an order size of 1,750 flower pots. a.What additional annual cost is the shop incurring by staying with this order size? (Round your optimal order quantity to the nearest whole number. Round all other intermediate calculations and your final answer to 2 decimal places.) Additional annual cost b.Other than cost savings, what benefit would using the optimal order quantity yield (relative to the order size of 1,750)? (Use the rounded order quantity from Part a. Round your final answer to the nearest whole percent.) About % of the storage space would be needed.PROBLEM 02. The fine Garment company sells fashion clothing. The forecasted annual demand for its premium leather jacket is 1200. The order processing cost per order is $25, and the inventory holding cost is $50/item/year. How many leather jacket should it order in one shipment? The fine garment company want to use re-order point system. It has the order quantity set at 34.64. To allow uncertainties in delivery and it customer demand, it wishes to hold 4 week of demand as safety stock. What should be re-order point if the delivery lead time is 2 weeks?Defi ne capacity
- There is no alternative place inside plant premises to store the increased salt consumption. Also the existing storage area cannot be modified and expanded further. Moreover, with the due expansion coming up in next 1 year, the salt consumption will Increase by approx. 50%. 1) Suggest the solution & Innovative way to better utilize the existing space and alternatives for storage area of Salt avoiding any stock-out situation to arise. Nor the plant capacity to be curtailed due to low stock of Salt. Suggestion can be made in terms of new Technology to be adopted and any other Out of Box thinking!Exercise 3 Can you combine both shipments due to the fact that both goes to the same destination port and the same origin port? Can you make an estimation on how to use spare volume to send both products combined in the same containers? Note: If you need to palettize take into consideration height increase in the first shipment 10 cm. Try to do a Cargo Load Plan for this case.Problem 4: Non-Slip Tile Company (NST) has been using production runs of 100,000 tiles, 10 times per year to meet the demand of 1,000,000 tiles annually. The set-up cost is $5,000 per run and holding cost is estimated at 10% of the manufacturing cost of $1 per tile. The production capacity of the machine is 500,000 tiles per month. a. Rewrite the inputs using standard notations (D, P, ...) b. Calculate the optimal production lot size. c. How much is NST losing annually with their current production schedule, comparing with the optimal production lot size?